People that will use their phone for distraction (which I don't think there's actually anything wrong with) will take only a few days to get "notification fatigue" from those screens and automatically bypass them without even thinking about it.
I get that you can prevent bypassing the screen as you mentioned as an extra feature but people will just click the other button then.
There's not a single person (myself included) I have seen use screen time not automatically bypass the limitation instantly as it pops up.