Phones with home buttons have the control centre in the same place it always was, at the bottom. Only the newer notch-style phones have it on the top-right.
I have always thought this was weird, but for what it’s worth, it works the same way on the tablets (if it has a home button, swipe from the bottom, otherwise, swipe from the top right).
Nope. The iPad Air 2 I’m typing this on has a home button but makes me swipe from the top right for the control panel. And yes it is fairly up to date, it’s on 15.6.1.
It’ll probably change in a few years again. Except it won’t for some devices.