I like going back and forth from PIP to large to PIP to large and the way PIP is done doesn’t allow that (and guessing why it’s still in beta and not pushed to main). You actually get the full functionality of PIP with the web app, so is there a way to do the PIP from the app with Safari and the web app? That way you can go from PIP to full screen and back to PIP. Either way I have a link to the webpage saved on my home screen for my iPad so that’s how I do it instead of using the app.
This will change if/when pip makes it to the main app.