Expose explicit LiveSync batching and honour save failures

Show the batching choice for the current synchronisation mode while
preserving both mode preferences. Observe local save failures before
file-open work and report failed asynchronous unload preparation.

Record the accepted recovery and batching contract, update the primary
settings documentation, and add two-device runtime coverage for batching,
deletions, saved settings, and interrupted local processing.

Requires Commonlib commit 72bdc66af5d7338d8f2f69ebe83c3866def93360.
Update the exact registry dependency when its package version is published.

Validation: full repository check; latest packed dependency type checks,
production build, 1,373 unit tests (one skipped), and six focused runtime
recovery cases. The earlier implementation passed the full 23-case runtime
comparison and five additional interruption conditions.

src/modules/essentialObsidian/ModuleObsidianEvents.ts

@@ -230,7 +230,13 @@ export class ModuleObsidianEvents extends AbstractObsidianModule {
         }
         this.isLastHidden = isHidden;
 
-        await this.services.fileProcessing.commitPendingFileEvents();
+        const pendingFileEventsCommitted = await this.services.fileProcessing.commitPendingFileEvents();
+        if (!pendingFileEventsCommitted) {
+            this._log(
+                "Pending file events remain because their commit did not complete before the window visibility changed.",
+                LOG_LEVEL_NOTICE
+            );
+        }
 
         // Desktop opt-in (LiveSync/Periodic only): keep the background channel running while the
         // window is hidden, instead of suspending on hide. On hide we skip the suspend for both
@@ -287,7 +293,10 @@ export class ModuleObsidianEvents extends AbstractObsidianModule {
         if (this.settings.suspendFileWatching) return;
         if (!this.settings.isConfigured) return;
         if (!this.services.appLifecycle.isReady()) return;
-        await this.services.fileProcessing.commitPendingFileEvents();
+        const pendingFileEventsCommitted = await this.services.fileProcessing.commitPendingFileEvents();
+        if (!pendingFileEventsCommitted) {
+            return;
+        }
         if (file == null) {
             return;
         }