Regardless of Bournemouth's finances, guiding a club from the verge of non-League football to Premier League survival is one of the greatest things I've known any manager to do..... Particularly when considering it was his first job (Burnley interval aside) outside of playing.
I would rate him as the best qualified manager in English football on that basis.
The two things against him: Profile and flexibility. At Bournemouth he is the be-all and end-all. Could he cope with the F.A's way of working? He didn't flourish at Burnley. Also, could the players respect him?