I’m in the EU, and adding a website to Home Screen does hide the browser feel. Maybe this experience is different in different European jurisdictions.

Your point about users not being used to this is very real. I didn’t know you could until some app author showed me.

It really is as simple as sharing a link or copy-pasting, but if you don’t know it’s a think, it disappears into obscurity in the menus.

I really hate it when the browser UI gets hidden. It loses me several great features like the ability to open multiple tabs. Or have a bookmark directly to a subpage.

Unfortunately some other features are only available to PWA do it's a tradeoff either way.

I live in the EU and just wrote my first PWA and that‘s not true, there is (almost) NO browser ui/ux.

No url bar, no back/forward, no tabs, nor translation, no menu bar, no loading indicator, just… pressing down on a link shows the target url and offers open, copy link, add to reading list and share -which honestly looks like a weird oversight.