Well, this is absolutely insane! It was only a couple of weeks ago that Samsung officially kicked off its first over-the-air Android 13 updates and after spreading the love to Galaxy S22, S22+, and S22 Ultra users around the world, the global mobile industry leader is now treating three different handset families to the same OS promotion.
It's naturally far too early to know if everything is running smoothly, particularly because the Galaxy Note 20 and S20 series rollouts appear to be limited to fewer regions than their S21 family counterpart. Specifically, Switzerland and Germany, although more countries should definitely join the fun in the next few days (even hours).
Don't forget to manually check for an update if you're eager to leave Android 12 (and One UI 4) behind, and remain patient if you're not actually able to get a taste of those sweet Android 13 treats (with One UI 4 on top) very soon.
lol... rolling out updates doesn't matter until they come up with a sensible solution to S20 series owners who got affected by their design issue.