P2P means the exchange should be without any intermediary but the exchanges are the intermediary which make them not to have P2P but another thing entirely.
As much as like the idea that there's no intermediary when it comes to P2P, I don't want to be a victim of a scam or anything malicious like that because when it's a raw P2P trade, the possibility that the other party won't commit to their agreed trade gets much higher and they don't have to crafty about it unlike having a middle-man/intermediary where they need to fake some confirmation to even pull off shit like that. Also, I don't get how it's confusing, you're just using the exchange as a platform to conduct a P2P trade, it's not like they actively meddle in the trades itself.