finishing the time it takes to receive your coins.
The time it takes for a Bitcoin transaction to finish is about 10 minutes, or a couple of hours if you set a low fee. The time it takes for a bank transaction to finish can take up to 4 days in my country. Let alone if financial institutions like Paypal are involved.
P2P is still in place but you forgetting major roadblock that caused disruption of p2p System: The Government.
While the government fights it, I don't think it's the main obstacle. Rather, I think it has to do with the skill set required to setup various software, the time required to learn how it works, and the
Gresham's law which makes it more appealing as a store of value.