In terms of p2p, I only trust binance p2p so far. Haven't tried others. Even if they require KYC, that's fine for me. At least, I know that platform is a trusted one. I care for privacy but I won't entrust my funds to other sites which you have no insurance, in case hacking or any trouble is met by the site. But I do agree, only small percentage of crypto users really do care about their total privacy. I guess, a lot here at some point submit their kyc to their local exchange or other exchanges.
Using a p2p exchange that requires KYC defeats the point of using p2p imo. If you want to avoid mass data collection then Binance and Coinbase should be the ones to avoid. You should be directly trading with another person with minimal data collection as possible because p2p is usually more expensive in fees then centralized exchanges. I only use p2p because there is no data collection usually I would recommend changing to a different platform and avoid giving your information up.