Sorry, I didn't get that! Why do you think they are not a p2p exchange anymore just because they decided to enforce kyc? And what does that have to do with being centralized or not?
It is not about what i think, an exchange that makes kyc mandatory cannot be called a decentralized or p2p exchange, if you have to submit information about yourself and still deposit funds into a wallet that only the exchange controls in order to trade, then that's surely not a p2p trade, you can call it what you want, and maybe peer to exchange, and then exchange to the trading peer on the other side is suitable. Buddy, It has a lot with being centralized, because that is simply what kyc exchanges are called, and as with everything centralized, there is a single point ot failure, it could be a honeypot service and data could be fed to the LE at anytime.
Lbc was still a p2p exchange even after enforcing kyc and, BTW, I don't believe this is the reason, or the drop of their trading volume, is the reason why they had to shut down their services. Binance have the strictest kyc requirements but they still have a p2p exchange platform.
Binance have always been a centralized exchange, most of their customers have always been people who didn't mind submitting their data to centralized services, how do you compare it to LocalBitcoins that was a p2p exchange that didn't require kyc, and then decided to make it mandatory along the line, what do you think would happen to trading volume in Bisq or AgoraDesk if they make KYC compulsory tomorrow? Majority of their customers would look for another p2p alternative. And FWIW, p2p on Binance isn't true p2p.