Buuuut, I just found mobaxterm, which has a ridiculous amount of features. And I'm pretty sure git bash for windows has ssh, and cmder, and now the Linux subsystem - so there are a lot more options on the table these days. Kitty's days might be numbered.
Checking out their download page[0] does reveal some limits on the home edition - 12 sessions, 2 ssh tunnels (I wish I knew if those were "simultaneous" or "saved"), a couple of other things - but I haven't run up against these limits yet. I do think that if I was doing something that required more than twelve simultaneous ssh sessions, I would have already switched over to my Linux installation. SSHing from Windows is something I generally do for small things.
I don't recall why exactly, I think there was some config option that was missing. More importantly though, tmux basically made the advantages of kitty obsolete.
It's just so hard when my i3 bindings are right there, already learned, and they give me all of the screen management I need already - so tmux is only offering me the long-running, detachable session benefits. But even that would be good to learn...
tbh I'm going to be downloading and checking out both kitty and alacritty when I have time; if alacritty turns out to be worth it, it will be the kick in the tail I need to start in on tmux.
(Maybe this mobile graphics card that bluescreens if used at vanilla clock speeds will finally be useful for something!)