Do you use web apps on your smartphone?

Web sites, yes. Full web apps as in PWA's ? No really, native apps tend to be a lot better.

I go one step further, and use the regular web page in my browser.

If I don't need to install something to use a web page on my computer, I see no reason to do any different on my phone.

Sure, several web pages serve a much worse version of they page when they determine you are using a phone, but I use the Fulguris browser (https://github.com/Slion/Fulguris), so I can easily set desktop browser mode and use custom user agent, so I get whichever version of the page that I want.

I use Lichess pwa, i prefer it over their app.