Honestly, I have more numbers of trades using a middleman than using a peer-to-peer I'm sure all of us here third parties will always be with us, we are so used to it, It applies in many industries it applies in Cryptocurrency.
With this can we now say that bitcoin is not performing the original privacy goal or that it is the human factor that is frustrating it because like you pointed out, third party services in bitcoin is really growing bigger apart from the exchanges, people have taken up this like the brokers and they stand in the middle to execute the transaction like the escrow service. I think the P2P service is not really getting that attention because of trust.