Not on iOS. https://caniuse.com/#feat=notifications

I have never clicked yes to allow web notifications in my life. I have only once added a site as an icon on my mobile. The whole premise of this article is false. The real answer to whether to start with a site or an app is it depends. At Bibimapp we have an app [0] requiring sign up etc (launching beta next week) and a related site which is free to browse which provides value but approaching the problem space from a different angle. The site is essentially the top of the funnel.

[0] https://bibimapp.com/

"Web has had notifications for years too."

Yeah. But people don't use desktops anymore.