Here's the thing: the no-KYC exchanges that are left are likely ones that exist in countries where they're not regulated, which means they can essentially do whatever they want.  Yobit comes to mind immediately, but I'm sure there are others.  And if you have an exchange that makes its own rules and isn't accountable to anyone, they can freeze your account for whatever reason they like.  The KYC exchanges which are regulated can't get away with anything they want to, and they'd have to have a valid reason to freeze your funds.

Usually I read complaints about gambling sites freezing accounts and not exchanges, but I know the latter do it as well.  I've never used hitbtc (never even heard of it, either) but my guess is that they're unregulated. 

I agree, because I don't think there are many non-KYC exchanges out there with solid reputations that you could trust not to freeze your account for some arbitrary reason.  So OP, just watch out if you're going to go that route.  Don't keep a lot of funds on an exchange for long, and I'd probably advise that you trade in small amounts--and read their rules, too.  You don't want to end up breaking one of them and run into a problem that no one can help you with.