Not all exchanges, some still accepts traders even without KYC, I have account at Binance and Kucoin but I can still trade without KYC.
It could matter depending on the size of money you trade, but in my case I'm just an average trader so I don't play with huge money and I'm okay with the current set up.
Binance surely offers the freedom people are looking for, but that's how all exchanges started initially, where later on they couldn't fight against the urgent need to comply with the regulations in every country they operate in.
I have seen it myself how exchanges lowered their withdrawal limit from 2BTC to 1BTC, to 0.5BTC, to 0.1BTC, and the last step is that you no longer have the ability to withdraw your funds unless you verify yourself.
It's only a matter of time for Binance and Kucoin to do the same. Make sure you don't get trapped in with your funds, so keep an eye out for the aforementioned withdrawal limit adjustments. It sucks hard all this KYC nonsense....