I think People can easily use the P2P platform available on Binance and other centralized exchanges. Why do they need other sites like localbitcoins etc for this purpose?
Also, I think that these sites have been losing business ever since the biggest exchange Binance has launched their P2P platform and that is very secure too.
Not everyone can legally access Binance and not all are fan of centralized exchanges that asks KYC. Besides localbitcoins are famous p2p platform on its prime years not until it asked KYC requirements which started its dooms day.
Similar to any online money processor, it would be quite naive to expect that it will stay no KYC forever. Does everyone expect the government would allow criminals to move money freely without imposing anti money laundering laws? This would certainly be head shaking if they left Localbitcoins alone.