When Jack died in The Parting of the Ways, Rose brought him back to be a fixed point in time and space. So, if we take a space-time graph and plot a normal person's life on it, we would get something like this:
But for ol'Jackie, it would be more like this:
and the assumption is that whenever he strays too far from that point, i.e., dies or is injured, he's dragged back there kicking and screaming. I'm basing that assumption mainly on this and a few other question here. And short of that one joke about grey hair and vanity, there is no indication that he even ages.
The point being that he can't change physically.
But what about emotional and psychological change?
Having been alive for I don't know how long since he was revived, could he have changed as a person, or would the power of Rose's immortalization drag him back to the same person he was at the time he died aboard the Game Station?
Because considering what is shown in both series, he doesn't seem to have grown as much as you would expect a person to considering what all he went through.
Canonical answers from other media would be appreciated, but anything within reason and logic (acceptable Doctor Who logic) would work.