Binance's attemps to avoid strict regulation says it's not only a few, like moving from one country to another, branching out strict places like US and most recently, trying the .06BTC band-aid solution.
In my opinion, it's not just avoiding stricter regulation on Binance. They are connected with the "real world" of finance and they are regulated.
So in this case the regulations for banks regarding KYC and AML seep into Binance. We've seen this with UK banks blocking payments to Binance, but as long as they're not "trusted" enough for banks, it'll keep happening until they have accepted a similar level.
As long as you will be able to transfer fiat to Binance, they'll be communicating vessels with the banks, also on KYC requirements.