Eventually all government will not just agree to same thing. You have heard of the phrase, one man's food is another ones poison. Where one government stops is where the other would start. P2P is a crypto friendly service, I dont see how it harms anyone.
P2P is a friendly service, but only if the fiat they are sending is not fraudulent. There have been many cases reported showing how these P2P merchants, even verified ones on centralized exchanges, are collaborating with corrupt people in authorities to deal with users, and after that they open legal cases and demand money. I have even seen many P2P traders with negative feedback where people have given them negative feedback because they were threatening them and asking for money, otherwise they would threaten legal cases.
I also like the example given to you by hd49728, it says it all. Government cannot completely eliminate such services. They can put certain laws but people would still manage to bypass them..
We can bypass them, but the banks we are using are theirs. They will ask for documents and reasons, and will ask questions like where this money came from, what the source is, how you earned it, etc. And if they want, they can seize it until they are sure that the money is legitimate. So this is how they can control you.