A P2P exchange cannot replace trading on Binance. The same applies to decentralized exchanges where we see very large commissions on the Ethereum network. You can use such networks as Matic, Solana, BSC, where the commissions are acceptable, but here we will face the fact that the number of available pairs is too small. I don't see an equivalent replacement for centralized exchanges yet.
Yes, unverified account in kucoin has still daily withdrawal limit of 5 btc, so maybe, take advantage of this opportunity before they start requiring their traders to undergo this obligatory KYC also. Some binance traders will look for other options especially those who don't want to submit their details. I was ok when Binance reduced the daily withdrawal limit to 0.06 btc for unverified as I am only small trader but when they totally implement full kyc for all users, then, I guess some traders will really look for other exchanges.