> Oh but there is, you can just try logging in with it (either for real or by running the login protocol on a dump/leak).
Sure, but that leak must have been from the same source.
Imagine you are a password-reuser, and you have registered with the same password in www.nottrustworthypage.com and www.yetanothernottrustworthypage.com
If they are using a would-be browser's built-in password protocol (which doesn't exist today, but this is what I'm suggesting and I sketched it in this comment https://news.ycombinator.com/item?id=22257502), and you know that if they are not colliding by using the same salt, and as long as your password is strong so it's not easily crackable, then you can have a pretty high confidence that whichever gets leaked, is very unlikely to damage your others site security.
Colliding salts require lots of efforts by the servers, and most of the damages produced by leaks, are because of lazyness