diff --git a/apps/sim/lib/knowledge/search/queries.test.ts b/apps/sim/lib/knowledge/search/queries.test.ts
index 8dc22757afb..219f323d72e 100644
--- a/apps/sim/lib/knowledge/search/queries.test.ts
+++ b/apps/sim/lib/knowledge/search/queries.test.ts
@@ -2051,6 +2051,75 @@ describe('permitted-document planner', () => {
       expect(reachCounts()).toHaveLength(2)
     })
 
+    it('reports a caller who reaches nothing as a bounded set of nothing, counted every time', async () => {
+      dbChainMockFns.execute.mockImplementation(async (query) => {
+        const statement = render(query).sql
+        if (statement.includes('EXPLAIN'))
+          return [{ 'QUERY PLAN': [{ Plan: { 'Plan Rows': 1_000_000 } }] }]
+        if (statement.includes(') reached')) return [{ n: 0 }]
+        return []
+      })
+      const reachCounts = () => statements().filter((query) => query.sql.includes(') reached'))
+      const plan = {
+        connectors: { workspace: [], admin: [], members: [], liveProofRequired: [] },
+        observers: { confirmed: [], observed: [] },
+        memberSources: [],
+        connectorTypes: new Map(),
+        uploads: true,
+      }
+      const budget = () => new SearchBudget('vector', performance.now() + 10_000)
+      await expect(
+        resolveReach(['org-index'], scope('reaches-nothing'), budget(), plan)
+      ).resolves.toEqual({ kind: 'bounded', documents: [] })
+      /** Emptiness decides completeness, so it is never remembered: the next search counts again. */
+      await expect(
+        resolveReach(['org-index'], scope('reaches-nothing'), budget(), plan)
+      ).resolves.toEqual({ kind: 'bounded', documents: [] })
+      expect(reachCounts()).toHaveLength(2)
+    })
+
+    it('reports a saturated probe whose count then finds nothing as a bounded set of nothing', async () => {
+      dbChainMockFns.execute.mockImplementation(async (query) => {
+        const statement = render(query).sql
+        if (isProbeStatement(statement)) return [{ id: null, connectorId: null, saturated: true }]
+        if (statement.includes('EXPLAIN'))
+          return [{ 'QUERY PLAN': [{ Plan: { 'Plan Rows': 1_000_000 } }] }]
+        if (statement.includes(') reached')) return [{ n: 0 }]
+        return []
+      })
+      await expect(
+        resolvePermittedDocuments({
+          knowledgeBaseIds: ['org-index'],
+          access: scope('saturated-then-nothing'),
+          budget: new SearchBudget('vector', performance.now() + 10_000),
+        })
+      ).resolves.toEqual({ kind: 'bounded', documents: [] })
+    })
+
+    it('does not read an unanalyzed index as a reach of nothing', async () => {
+      /** The planner knows no rows yet, so the bound is zero and the count looked at nothing. */
+      dbChainMockFns.execute.mockImplementation(async (query) => {
+        const statement = render(query).sql
+        if (statement.includes('EXPLAIN')) return [{ 'QUERY PLAN': [{ Plan: { 'Plan Rows': 0 } }] }]
+        if (statement.includes(') reached')) return [{ n: 0 }]
+        return []
+      })
+      await expect(
+        resolveReach(
+          ['org-index'],
+          scope('unanalyzed'),
+          new SearchBudget('vector', performance.now() + 10_000),
+          {
+            connectors: { workspace: [], admin: [], members: [], liveProofRequired: [] },
+            observers: { confirmed: [], observed: [] },
+            memberSources: [],
+            connectorTypes: new Map(),
+            uploads: true,
+          }
+        )
+      ).resolves.toEqual({ kind: 'unbounded', broad: true })
+    })
+
     it('reports a leg whose own deadline passed during the count as short, not failed', async () => {
       const budget = new SearchBudget('vector', performance.now() - 1)
       await expect(
diff --git a/apps/sim/lib/knowledge/search/queries.ts b/apps/sim/lib/knowledge/search/queries.ts
index 4ae24ac79ad..f2ff5bf066c 100644
--- a/apps/sim/lib/knowledge/search/queries.ts
+++ b/apps/sim/lib/knowledge/search/queries.ts
@@ -1184,7 +1184,19 @@ export const BROAD_REACH_SHARE = 0.25
  */
 const SATURATED_REACH_TTL_MS = 5 * 60 * 1000
 
-/** A saturated reach, and whether it is broad enough to walk the whole graph for. */
+/**
+ * A counted reach: whether it is broad enough to walk the whole graph for, or empty, in which
+ * case the caller reads nothing in these bases and no leg has anything to rank.
+ */
+interface CountedReach {
+  broad: boolean
+  empty: boolean
+}
+
+/**
+ * Only breadth is remembered. Emptiness decides completeness, not strategy, so it is counted on
+ * every search: the count of a reach of nothing finds nothing and costs almost nothing.
+ */
 const saturatedReach = new LRUCache<string, { broad: boolean }>({
   max: 10_000,
   ttl: SATURATED_REACH_TTL_MS,
@@ -1249,24 +1261,28 @@ async function estimateFilteredDocuments(
 }
 
 /**
- * Whether a reach is broad: the caller reaches at least {@link BROAD_REACH_SHARE} of the bases'
- * documents. Counted once against that bound and remembered, so the first search after the
- * window pays for it and the rest do not. A caller whose probe already saturated is known to
- * reach past the probe's limit, so a bound inside that limit is met without counting.
+ * How far a caller reaches: broad when they reach at least {@link BROAD_REACH_SHARE} of the
+ * bases' documents, empty when they reach none. A reach of nothing is a bounded set of nothing: a
+ * caller who reads no document in these bases, such as a member with no source of their own yet,
+ * has nothing for any leg to rank, where an unbounded set would have each leg scan to its
+ * deadline for rows it cannot find. Breadth is counted once against the bound and remembered, so
+ * the first search after the window pays for it and the rest do not. A caller whose probe already
+ * saturated is known to reach past the probe's limit, so a bound inside that limit is met without
+ * counting.
  *
  * The count reads as many index entries as the caller reaches, so on a large index it can cost
  * more than the leg it serves; it gets the probe's share of the deadline, never the whole leg's.
  * A count that runs out of that share answers `null`: the leg keeps its time and its deadline
  * intact, and the caller decides this search alone without remembering anything.
  */
-async function reachIsBroad(
+async function countReach(
   knowledgeBaseIds: string[],
   access: KnowledgeAccessScope,
   budget: SearchBudget | undefined,
   plan: SearchAccessPlan | undefined,
   saturated: boolean
-): Promise<boolean | null> {
-  if (access.kind !== 'user') return true
+): Promise<CountedReach | null> {
+  if (access.kind !== 'user') return { broad: true, empty: false }
   const countBudget = budget?.capped(VECTOR_PROBE_BUDGET_MS)
   try {
     const total =
@@ -1274,7 +1290,7 @@ async function reachIsBroad(
         context: countBudget,
       })) ?? 0
     const bound = Math.ceil(total * BROAD_REACH_SHARE)
-    if (saturated && bound <= VECTOR_PROBE_DOCUMENT_LIMIT) return true
+    if (saturated && bound <= VECTOR_PROBE_DOCUMENT_LIMIT) return { broad: true, empty: false }
     const [row] = await runSearchQuery(countBudget, 'permitted_documents', (executor) =>
       executor.execute<{ n: number }>(sql`
         SELECT count(*) AS n FROM (
@@ -1288,7 +1304,9 @@ async function reachIsBroad(
           LIMIT ${bound}
         ) reached`)
     )
-    return Number(row?.n ?? 0) >= bound
+    const reached = Number(row?.n ?? 0)
+    /** A count that looked and found nothing: only a bound of zero looks at nothing. */
+    return { broad: reached >= bound, empty: bound > 0 && reached === 0 }
   } catch (error) {
     if (!budget || !countBudget?.isTimeout(error)) throw error
     /** Only the count's share was spent; the leg's own deadline still governs. */
@@ -1345,11 +1363,12 @@ export async function resolveReach(
   const remembered = key ? saturatedReach.get(key) : undefined
   if (remembered) return { kind: 'unbounded', broad: remembered.broad }
   try {
-    const broad = await reachIsBroad(knowledgeBaseIds, access, budget, plan, false)
+    const reach = await countReach(knowledgeBaseIds, access, budget, plan, false)
     /** A count that ran out of time decides this search only; the next one counts again. */
-    if (broad === null) return { kind: 'unbounded', broad: true }
-    if (key) saturatedReach.set(key, { broad })
-    return { kind: 'unbounded', broad }
+    if (reach === null) return { kind: 'unbounded', broad: true }
+    if (reach.empty) return { kind: 'bounded', documents: [] }
+    if (key) saturatedReach.set(key, { broad: reach.broad })
+    return { kind: 'unbounded', broad: reach.broad }
   } catch (error) {
     /** The leg's own deadline passed during the count: the leg is short, the search is not failed. */
     if (!budget?.isTimeout(error)) throw error
@@ -1408,7 +1427,7 @@ export async function resolvePermittedDocuments(params: {
     }
     if (probe.kind === 'saturated') {
       try {
-        const counted = await reachIsBroad(
+        const reach = await countReach(
           params.knowledgeBaseIds,
           params.access,
           params.budget,
@@ -1416,8 +1435,9 @@ export async function resolvePermittedDocuments(params: {
           true
         )
         /** A count that ran out of time decides this search only; the next one counts again. */
-        if (counted !== null) {
-          broad = counted
+        if (reach?.empty) probe = { kind: 'documents', documents: [] }
+        else if (reach !== null) {
+          broad = reach.broad
           if (key) saturatedReach.set(key, { broad })
         }
       } catch (error) {