All the above simply boils down to "why would he leave?" The money was only important as a symbol and he has more than he could spend, anyway. That's at least part of the reason that he's not trying to fatten his income with outside deals. He'll continue to insist on being the highest paid coach, and if he delivers, we'll owe it to him (and it'll be a bargain).
If he delivers for a while, on the scale he did at LSU, I see two openings that might be tempting - Ohio State, because of the proximity of his upraising and Notre Dame, for it's own special aura (and his faith). I'd see a nice run at Bama before either of those - and he's not getting younger.
The kernel of the argument that he'll certainly leave Bama after a short while is partly flawed logic and partly emotional. The logic part is extrapolation - "he's always left after a short while, so he will again." This is fallacious because it ignores that circumstances can change; people can change. This has been pointed out ably above also.
The emotional part is sour grapes and it comes mostly, though not entirely, from LSU fans who can't comprehend that he would coach in the SEC anywhere other than LSU. They can be satisfied only by two chains of events - either Nick loses, to them, habitually, or he leaves Bama. Nothing else will give them surcease, and nothing will give us surcease from them and their wails. They'll still be saying he's about to leave when he's hobbling up and down the sidelines in his walker.
The other large contingent, other than LSU, that is, who will keep saying he'll leave are folks who just wish Bama and Saban ill, in no particular order. IOW, pure "Schadenfreude." They're not going to stop talking either. I, for one, believe that Saban is going to turn their complaints to dust in their mouths. He manufactures his own motivational wellsprings, but, believe me, he's added some people and groups lately...