For P2P there is no third party involved, there is a pleasant risk. There is also a risk of being cheated. By creating using fake profile, can attract with false information. So before transaction should verify complete information of the seller. It is better to see the opinions related to previous transactions.
Do not get confused, there are two types of p2p: centralised and decentralized. The disadvantages of centralized exchanges is the exchange having complete control and not the users.
If a trader do not know how to avoid scam, he can be scammed easily on centralized exchange too.
I advice if you want to do P2P trading, you can use localcryptos or hodlhodl, you can also use decentralized exchange e.g. Bisq who have good security and protect your privacy.
It is sad that localccryptos is closing down after five years it was established.
After 5 years, LocalCryptos is saying goodbyeThe most decentralized p2p is bisq. Hodlhold is also a good alternative.