It was peer to peer, what are you Savastan0 talking about? It just was not decentralized, but it never claimed to be.
I also used LocalBitcoins before they introduced KYC. How was it peer to peer if even the addresses you would deposit the Bitcoins to were owned by them and not you and, worst of it, they would even charge a deposit fee? 
You can't claim to be a peer to peer service, yet you are centralized.
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If Localbitcoins is not p2p then absolutely none of the platforms offering p2p trading, p2p marketplace, p2p sharing etc are not p2p.
Have ever tried using bisq.network or just checking it out?Quote
You are buying and selling directly to another peer. Yes, you use the platform to escrow funds,
And they could decide to make off with your money or block it from both of you accessing it. Is this still peer to peer 
99% of DEX are non custodial but they are so centralized now THEY are not p2p, you don't even know who you're trading with a bot, or some companies' bots, or just a few guys with all the liquidity.
Those are not Dexs. It's all a lie.