https://hackernoon.com/centralized-vs-decentralized-cryptocurrency-exchanges-explained-simply-639411ecb452
It's better that they move their fund not because about the KYC but it's the fact that you won't be able to hold your own private key. No key = Not your coin well it's much better to hold your fund on your own wallet.
Agree with this, aside from identity security, people should prioritize their fund's security. Online wallets are susceptible of hacking, if you are not holding your own keys, you don't own your funds. Funds on centralized wallets can be frozen at any time due to suspicious activities. Store funds on a hardware wallet for security, no KYC needed as wel, you get to keep your own seed phrase and keys.