What does the transmission have to do with starting the car? Why would have the car in neutral make a difference?

At any rate, Raul @ Ultimate started the car Wednesday afternoon and it "finally" (I knew something was wrong but I'm not sure if I really want to say "finally") didn't start. He said it was "most likely" a problem with the fuel pump and fuel pump relay, so both are being replaced for a cost of $630. Is that fair?

David