The Push API gives web applications the ability to receive messages pushed to them from a server, whether or not the web app is in the foreground, or even currently loaded, on a user agent. This lets developers deliver asynchronous notifications and updates to users that opt in, resulting in better engagement with timely new content.

Seems more like a way to send a message to the running web app. What I mean are the notifications that pop up on your phone… If I close the tab, the website can’t do anything.

The only use case of actual push notifications on “websites” I can think about: Push notifications in PWAs…