Log out of your site or use a private browser tab and add this to your site’s URL and see where you land: wp-login.php?action=register
Yes, registered users at the Subscriber level can only read, but that does not necessarily mean you need to have them there so they can put links and whatever else in their profiles at your site.
My biggest question is why the sudden influx of subscribers.
Someone apparently tried, and now maybe the word is getting around! I really have no idea, but I use Wordfence Security to occasionally check my 404s (as well as to do other things, of course) and I see all kinds of attempts to do things I did not set my site up to do.