However, when a manager uses 1 on 1s for what they're actually for (career growth, feedback, blockers, coaching, praise, etc) they have the best teams and best performance, because they make sure the employee stays motivated and the team as a whole operates better.
I've uncovered so many problems that would have otherwise blown up later, as well as found tons of ways to better motivate team members from them, I can't imagine not having them, nor ever working for someone who doesn't do them.
I think of my job as a manager as supporting and empowering my team to be productive and making sure they are happy with their work, this was just one way for me to do so.
Given your preference for less 1:1's, I would be interested to hear your take.
Anyway, I think monthly would be fine as long as it focused on career growth, goals, etc. I am a tad bit of biased since I have had bosses who use 1:1's to stay up to date with projects and work while ignoring the entire team and was on the golf course the rest of the week.
Of course I am not talking about deliberately keeping your boss in the dark, that is a problem for another thread. I am not for 1:1s being used for "phoning it in" from a lazy manager.
When a manager has weekly 1:1 meetings, time to find a new job...and fast. That is a major red flag if the manager unable to keep track of the team OR upper management is getting ready for layoffs.
In fact, when go through the interview process once question I ask is are their views on 1:1 meeting, how often are they, are they mandated by upper management or just the manager's preference.