I agree that process should be public, I disagree that personal 1-on-1s should be ad-hoc. The whole point is for feedback to be continuous, so if you're starting to fuck up, you get early warnings and a better chance of correcting course.

That has been my experience, at least, I am somewhat of an acquired taste, personality wise, and often unwillingly unaware of my effect on others, or bad habits I might slip into. Having regular 1-on-1s gives manager opportunity to give me early feedback.

It also gives me a regular chance to 1) ask for help with interpersonal things I struggle with and 2) get positive feedback, when I manage, to everyone's surprised, to not fuck things up.

All of that depends hugely on the manager, of course. If your manager is using this time to check on your regular work, or give you tasks ... there might not be hope for this job. Maybe you can talk to them, maybe to their boss, but it smells like just a bad culture, that you're better of leaving than trying to fix.