Earlier quoted context omitted.
If you add a web page (a PWA) to the home screen, it can do push messages on iOS since a couple of years.
The average person doesn't know this, nor what a PWA is. Source: consulted for a company that had a PWA and paid me a lot of money to make it a native app because their users didn't know how to use the PWA.
Look how they hid the option to add a PWA to the home screen. Instead of placing the option next to "Add to bookmarks" after you press "..." (especially if it recognized the page as a PWA!), you have to choose "Share" (which makes no sense!) and then scroll up (at the same time it's non-obvious that you can even scroll up) past the option "add to bookmarks" (again) and then pick the 5th option "add to home screen".
Very obvious dark pattern at work here.