While it's certainly possible, the question becomes how probable it is. For the answer to that you'd probably need a lawyer. I'm definitely not one of those. In other words, this is all guesswork. ISPs don't just hand information over, it would take a subpoena. So that's hurdle (a big one) number one.
So, would SS, once identified, face repercussions is question two. Here there are two kinds of troubleālegal and cancel culture type problems. They're already trying the cancel culture stuff by shouting & whatnot for legislation, trying to out the site's principals, etc. Good luck with any of that.
In the internet era, legal stuff is a major headache. By that I mean it depends on the country you're in, and the country the site's host is in, and the country where the folks who make the site are in. Again in other words, it would tie lawyers up for years and most likely never get anywhere. Even if all those jurisdictional issues got sorted, they would then run into protected speech problems. Again, good luck.
If you take even just a little care, use a secondary browser that you can just delete, or encrypt and password protect all your devices, then that's where it most likely ends. And, most people forget, if you have a wifi router, it keeps logs, so delete those.