On iOS I use Focus a lot, but for things like theaters, restaurants, etc. the standard Do Not Disturb is enough, and if you use your calendar a lot (like I do so I can tap events on CarPlay to navigate) it’ll give you the option to deactivate the Focus after the event ends, when leaving, etc.

I read somewhere that it does. Just by virtue of having a phone visible makes people think about scrolling. Let's see if I can dig up where I read that...

Edit: https://www.psychologytoday.com/us/blog/mind-brain-and-value/202103/the-psychology-of-the-face-down-phone

Note it's psychology today, not the research itself. Throwing the link up while I dig further.