As of iOS and iPadOS 16.4, web apps saved to your Home Screen support badging!
We've heard questions about the deets, so we wrote a blog post with the deets.
https://webkit.org/blog/14112/badging-for-home-screen-web-apps/
Badging for Home Screen Web Apps

Along with the many other features for web apps on iOS and iPadOS 16.4, WebKit now includes support for the W3C’s Badging API.

WebKit
@bradeeoh can we talk about how absolutely nobody expects to find add to home buried inside of a share menu. It’s like Facebook trying to hide the GDPR settings.
@mdh @bradeeoh It's been in the share menu since early iOS days. I'm pretty sure even your grandma knows about it even if they don't know what it is.

@croc @bradeeoh let’s not resort to making stuff up. Nobody knows it is there. Famously so. What the fact that is has always been that way has to do with anything is also not super clear here.

It’s a terrible place to put it and is basically a pretty textbook dark pattern. We *could* change that though.