Binance will be fine, but if regulators get to them I can envisage they may be required to do KYC for ALL transactions (not just above 2 BTC per day).
If that happens... well I won't be using Binance anymore.
I'm sure that you're not the very person that will stop using Binance if they starts to require KYC.
That's why many are still using them because 2 BTC limit for a non-KYC account is still quite good for a small investor. And with the recent hack, they are still good to go. Let's see on how they will return tomorrow and how people will act on it.