It's often the other way around... Many times, salespeople use different names on the phone than in real life.
You really need to be careful with lying to yourself like that. Being a whole integrated person who doesn't have to remember who he is and what lies he's told comes in handy.
If you measure by being a decent and content person, I'd have to say no.
Actually, that's not exactly what the story contained. It said that John was the legal name, but it didn't say that Jake wasn't the legal name. That happens all the time, John Jake Johnson, for example.