If anyone advertises P2P when it's not, it should be illegal. I have no idea what type of P2P you are talking about but most of the centralized exchanges I know does a P2P keeping itself as a escrow system. Having a escrow in P2P don't make than non-P2P.
Does escrow not make the transaction non-p2p? Here you got me confused, I thought p2p means from me directly to you?