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I think I found the problem. I was running on web and checking the code of the package i see: extension HiveX on HiveInterface {

  Future<void> initFlutter([String? subDir]) async {
    WidgetsFlutterBinding.ensureInitialized();
    if (kIsWeb) return;   
   var appDir = await getApplicationDocumentsDirectory();
    init(path_helper.join(appDir.path, subDir));  ....

Can this return statement in case of web be the cause of not storing the localstorage?