There is a great risk of being in trouble when doing P2P that includes personal data, third party accounts may be involved in money laundering crimes, for example, it happened to a friend, he was called to testify in an extortion case.
The account they used to make the transfer to their Fiat Bank account for the sale of cryptocurrencies, it received funds from a kidnapping crime, and when they tracked it down, they became involved him.
He had to go to testify and verify that it had nothing to do with the crime that was being attributed to him.
It is dangerous, if you need to sell crypto to carry Fiat Local*, it is preferable that you buy/sell to Binance, and not from a third party of verified sellers.
*Binance allows buying and selling and subsequently making Fiat deposits from the platform to your account, but not all countries.
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OP refers to P2P transactions, in reality doing KYc on Binance is already complicated, imagine giving personal data to a supposed seller on a platform that the only thing that attributes to them is something like a verified seller.