I think p2p here means person-to-person games where players play against each other and not against the casino and not peer-to-peer system where nodes connect directly to each other without the need for a server. (maybe OP can clarify this point)
What concerns me in such games is how the provably fair algorithm works and how random numbers are generated! Also, how to know you are betting against a real player not a bot created by the casino?
No, P2P means peer-to-peer, while PVP is player-versus-player is the right words and not person-to-person.
By the way, @kreuzditch please avoid consecutive posting... You can put all your quoted replies in one post and not one quote per post, just an advice. Cheers.