I do not care at all about other matches or an updated league table for the vast majority of the season. I just want to focus on the match that I'm playing, immerse myself in that. So, I agree with you.
I do not believe that any real-life managers are receiving updates on other results or an updated league table while managing except for rare instances on final match days and similar circumstances.
I think that there was a way to turn this off a few years ago, but, for some reason, that ability was removed. And, honestly, that has a lot to do with why I haven't purchased FM 23 yet and may not.