Fix microsoft#164592 (microsoft#166276)

Author: sandy081

src/vs/workbench/contrib/extensions/browser/extensionsWorkbenchService.ts

@@ -1237,8 +1237,8 @@ export class ExtensionsWorkbenchService extends Disposable implements IExtension
 				// Skip if check updates only for builtin extensions and current extension is not builtin.
 				continue;
 			}
-			if (installed.isBuiltin && (!installed.local?.identifier.uuid || (!isWeb && this.productService.quality === 'stable'))) {
-				// Skip checking updates for a builtin extension if it does not has Marketplace identifier or the current product is VS Code Desktop stable.
+			if (installed.isBuiltin && (installed.type === ExtensionType.System || !installed.local?.identifier.uuid)) {
+				// Skip checking updates for a builtin extension if it is a system extension or if it does not has Marketplace identifier 
 				continue;
 			}
 			infos.push({ ...installed.identifier, preRelease: !!installed.local?.preRelease });