The nice thing about open standards like web push notifications vs. proprietary apps' arbitrary logic is that the open standard version puts users in control.

The nice thing about open standards like web push notifications vs. proprietary apps' arbitrary logic is that the open standard version puts users in control. The browser is free to refuse every notification request AND make websites believe the notifications have been enabled. Unless smartphone OS vendors are kind enough, you can't do that with app notifications. It seems you're arguing against the concept of push notifications itself, not whether the native or web app implementation is better.