Well, yeah Kelso. That's stunningly obvious.
I would have hoped so.
RTD's Time War back-story provided more than enough motivation for the Doctor's emotional state. Trying to link it back to the quirks of old timey Doctors, from which Eccleston's portrayal of the Doctor was completely divorced, is unnecessary.
While I agree that it's generally silly to say that any particular Doctor got his whatever from some prior Doctor, I would point out that that Tom Baker's portrayal of the Fourth Doctor was such a strong departure from the prior Doctors, and so thoroughly influential, that every subsequent actor to approach the role has adopted some of Baker's manic energy, and Eccleston is no exception.
Tom Baker's Doctor was a combination of the previous three, the first Doctor's anger and curiousity, the second Doctor's whimisy and the Doctor's style only alittle more causual. Any actor who plays the Doctor will bring in traits of previous Doctors as well as making the role his own.