Site editor: Fix opening of save panel when using the save shortcut

packages/edit-site/src/components/keyboard-shortcuts/global.js

@@ -4,6 +4,7 @@
 import { useShortcut } from '@wordpress/keyboard-shortcuts';
 import { useDispatch, useSelect } from '@wordpress/data';
 import { store as coreStore } from '@wordpress/core-data';
+import { store as editorStore } from '@wordpress/editor';
 
 /**
  * Internal dependencies
@@ -13,20 +14,25 @@ import { store as editSiteStore } from '../../store';
 function KeyboardShortcutsGlobal() {
 	const { __experimentalGetDirtyEntityRecords, isSavingEntityRecord } =
 		useSelect( coreStore );
+	const { hasNonPostEntityChanges } = useSelect( editorStore );
 	const { setIsSaveViewOpened } = useDispatch( editSiteStore );
 
 	useShortcut( 'core/edit-site/save', ( event ) => {
 		event.preventDefault();
 
 		const dirtyEntityRecords = __experimentalGetDirtyEntityRecords();
-		const isDirty = !! dirtyEntityRecords.length;
+		const hasDirtyEntities = !! dirtyEntityRecords.length;
 		const isSaving = dirtyEntityRecords.some( ( record ) =>
 			isSavingEntityRecord( record.kind, record.name, record.key )
 		);
-
-		if ( ! isSaving && isDirty ) {
-			setIsSaveViewOpened( true );
+		const _hasNonPostEntityChanges = hasNonPostEntityChanges();
+		if ( ! hasDirtyEntities || ! _hasNonPostEntityChanges || isSaving ) {
+			return;
 		}
+		// At this point, we know that there are dirty entities, other than
+		// the edited post, and we're not in the process of saving, so open
+		// save view.
+		setIsSaveViewOpened( true );
 	} );
 
 	return null;