I hope this hasn’t been discussed to death elsewhere, but I have some concrete evidence to contribute.
Take a look at my profile, and filter by “rated” and “19x19”. I haven’t played a ton of games lately in this category, but you’ll see the game record of a solid 1d player: a balanced performance against other 1d’s, and generally losing against stronger players, with a few wins here and there. Indeed, as of yesterday my rank was about 1.7d.
Today, however, my rank is 3d. The reason is that I blitzed out a bunch of 9x9 games for the WSC 2024 event, mostly handicap games against kyu players, and I won a lot of these games. (Though my record against other dan players today was 2-2.)
Reasonable people can disagree about whether beating a bunch of kyus in handicap games is evidence that my 9x9 playing strength is around 3d. But I don’t think it’s possible to argue that my 19x19 playing strength is 3d on the basis of that evidence. I certainly don’t mind that I’m going to get paired with some stronger players when I get back to 19x19, but it’s not good for the rating system overall.
The obvious fix is to formally segment the rating system by board size. Some version of this has already been done, in the sense that I can see my estimated playing strength for 9x9, 13x13, and 19x19 in my profile. But it seems that only the aggregated rating is used when displaying my rating to other users, and when setting handicap / komi.