diff --git a/tests/Equinox.CosmosStore.Integration/CosmosCoreIntegration.fs b/tests/Equinox.CosmosStore.Integration/CosmosCoreIntegration.fs
index fb93fef5f..2534344cf 100644
--- a/tests/Equinox.CosmosStore.Integration/CosmosCoreIntegration.fs
+++ b/tests/Equinox.CosmosStore.Integration/CosmosCoreIntegration.fs
@@ -43,8 +43,8 @@ type Tests(testOutputHelper) =
         let! res = Events.append ctx streamName index <| TestEvents.Create(0,1)
         test <@ AppendResult.Ok 1L = res @>
         test <@ [EqxAct.Append] = capture.ExternalCalls @>
-        if eventsInTip then verifyRequestChargesMax 21 // 20.42
-        else verifyRequestChargesMax 34 // 33.07
+        if eventsInTip then verifyRequestChargesMax 24 // 23.72
+        else verifyRequestChargesMax 36 // 35.97 // 43.53 observed
 
         // Clear the counters
         capture.Clear()
@@ -53,8 +53,8 @@ type Tests(testOutputHelper) =
         test <@ AppendResult.Ok 6L = res @>
         test <@ [EqxAct.Append] = capture.ExternalCalls @>
         // We didnt request small batches or splitting so it's not dramatically more expensive to write N events
-        if eventsInTip then verifyRequestChargesMax 40 // 39.13
-        else verifyRequestChargesMax 41 // 40.68
+        if eventsInTip then verifyRequestChargesMax 42 // 41.36
+        else verifyRequestChargesMax 43 // 42.82
     }
 
     // It's conceivable that in the future we might allow zero-length batches as long as a sync mechanism leveraging the etags and unfolds update mechanisms
@@ -136,7 +136,7 @@ type Tests(testOutputHelper) =
         pos <- pos + 42L
         pos =! res
         test <@ [EqxAct.Append] = capture.ExternalCalls @>
-        if eventsInTip then verifyRequestChargesMax 45 // was 44.65
+        if eventsInTip then verifyRequestChargesMax 48 // 47.58
         else verifyRequestChargesMax 50 // 49.74
         capture.Clear()
 
@@ -152,7 +152,8 @@ type Tests(testOutputHelper) =
         let extrasCount = match extras with x when x > 50 -> 5000 | x when x < 1 -> 1 | x -> x*100
         let! _pos = ctx.NonIdempotentAppend(stream, TestEvents.Create (int pos,extrasCount))
         test <@ [EqxAct.Append] = capture.ExternalCalls @>
-        verifyRequestChargesMax 448 // 447.5 // 463.01 observed
+        if eventsInTip then verifyRequestChargesMax 451 // 450.03
+        else verifyRequestChargesMax 448 // 447.5 // 463.01 observed
         capture.Clear()
 
         let! pos = ctx.Sync(stream,?position=None)
@@ -252,7 +253,8 @@ type Tests(testOutputHelper) =
             | _ -> None
         // validate that, because we stopped after 1 item, we only needed one trip (which contained 4 events)
         [1,4] =! capture.ChooseCalls queryRoundTripsAndItemCounts
-        verifyRequestChargesMax 3 // 2.97
+        if eventsInTip then verifyRequestChargesMax 4 // 3.06
+        else verifyRequestChargesMax 4 // 3.08
     }
 
     (* Backward *)
diff --git a/tests/Equinox.CosmosStore.Integration/CosmosIntegration.fs b/tests/Equinox.CosmosStore.Integration/CosmosIntegration.fs
index 50a2e1be9..b80655d96 100644
--- a/tests/Equinox.CosmosStore.Integration/CosmosIntegration.fs
+++ b/tests/Equinox.CosmosStore.Integration/CosmosIntegration.fs
@@ -189,13 +189,15 @@ type Tests(testOutputHelper) =
     let batchBackwardsAndAppend = singleBatchBackwards @ [EqxAct.Append]
 
     [<AutoData(MaxTest = 2, SkipIfRequestedViaEnvironmentVariable="EQUINOX_INTEGRATION_SKIP_COSMOS")>]
-    let ``Can correctly read and update against Cosmos with LatestKnownEvent Access Strategy`` (eventsInTip, value) = Async.RunSynchronously <| async {
+    let ``Can correctly read and update against Cosmos with LatestKnownEvent Access Strategy`` (eventsInTip, value : ContactPreferences.Events.Preferences) = Async.RunSynchronously <| async {
         let context = createPrimaryContextEx log 1 (if eventsInTip then 1 else 0)
         let service = ContactPreferences.createService log context
+        // We need to be sure every Update changes something as we rely on an expected number of events in the end
+        let value = if value <> ContactPreferences.Fold.initial then value else { value with manyPromotions = true }
 
         let id = ContactPreferences.Id (let g = System.Guid.NewGuid() in g.ToString "N")
         // Ensure there will be something to be changed by the Update below
-        for i in 1..13 do
+        for i in 0..13 do
             do! service.Update(id, if i % 2 = 0 then value else { value with quickSurveys = not value.quickSurveys })
         capture.Clear()
 
@@ -215,8 +217,8 @@ type Tests(testOutputHelper) =
             let streamName = ContactPreferences.streamName id |> FsCodec.StreamName.toString
 
             // Prune all the events
-            let! deleted, deferred, trimmedPos = Core.Events.prune ctx streamName 14L
-            test <@ deleted = 14 && deferred = 0 && trimmedPos = 14L @>
+            let! deleted, deferred, trimmedPos = Core.Events.prune ctx streamName 15L
+            test <@ deleted = 15 && deferred = 0 && trimmedPos = 15L @>
 
             // Prove they're gone
             capture.Clear()
@@ -239,7 +241,7 @@ type Tests(testOutputHelper) =
         let service = ContactPreferences.createServiceWithLatestKnownEvent context log CachingStrategy.NoCaching
 
         let id = ContactPreferences.Id (let g = System.Guid.NewGuid() in g.ToString "N")
-        // Feed some junk into the stream; Ensure there will be something to be changed by the Update below
+        // Ensure there will be something to be changed by the Update below
         for i in 1..13 do
             do! service.Update(id, if i % 2 = 0 then value else { value with quickSurveys = not value.quickSurveys })
         capture.Clear()