Same here. Native or bust. I want my apps to use common gestures, key combinations, utilize operating system features like face recognition, have common os theming, obey system preferences like dark mode, and be available offline. Any app I use on the regular must be native (not even that Electron or React Native crap).
Somewhat related: I made an iOS Shortcut that lets you customize the icons for web apps. YouTube is definitely in desperate need for that. Just run in on the website before adding it to the home screen.
Oh I use plenty… dict.cc; TikTok; Astroprint; Octoprint and Printables; Xing; LinkedIn; eBay; Etsy; AliExpress; Idealo; Chefkoch; pkmn.help (very beautiful web app btw…); and so on. I got rid of any App I don’t trust and/or where the web app gets the job done.
Not so much web apps saved to my home screen, but 95% of my web surfing on my iOS devices are through Safari. It’s mostly stuff like streaming services that I use the apps.
I tend not to because I hide all my apps and rely on Siri suggestions and Spotlight to access them. I used to have only one Home Screen with a large widget stack and the Siri app suggestion widget, but the Xbox Cloud Gaming web app is the only way to use it, so I have a second screen with just that on it