This is true. I had to do more kyc for to be able to use p2p on Binance
KYC is a must in Binance especially if you're using P2P. Binance is the only intermediary, that's why they have to make sure that both senders funds are safe. If ever there's a problem about the number of tokens/coins that is being sent by the seller, the sender must confirm first before it will be able to transfer. And if there's any problem that both of receiver and sender cannot fix, that's the time Binance will join to fix it. Generally, we must be KYC approved to maximize the use of the CEX.