> There's not a single person (myself included) I have seen use screen time not automatically bypass the limitation instantly as it pops up.
You can take the more drastic approach and lock yourself out of your phone by changing it's unlock code and use a timelock [0] to prevent yourself from bypassing it for a given time. Works also with parental-control like Apps that require you to enter a password/code to unlock. No bypassing here.
[0]: lockmeout.online