Like all things, if it's done as a cargo-cult activity, then yes it can sap a lot of time for little reward. However, when done well, a 1:1 can be a high-value activity.
I'd agree with you that weekly can sometimes be the wrong cadence; some individuals will find that an encroachment. I set the goal with my reports that they own the 1:1 meeting invite and can set the cadence as they see fit, within some prescribed limits. That has tended to have good results.
I do them bi-weekly, but it still takes up a lot of time. However, if you don't do them, people will feel like they're not being heard and they have no scheduled semi-informal way to communicate with me. So I will never hear their worries or concerns, I don't know what they're struggling with, I won't hear their ideas for improvements, etc.
I think they're super useful, especially in a mostly-remote context.