I'm pretty sure he would have been happy to keep salaries low so the owners could pocket more money.
He grew revenues, which is the job of any CEO (or commissioner) which in turn made the NHLPA ask for a bigger piece of the pie.
Montreal, Toronto, Vancouver (half the Canadian teams) have always been among the highest paid salaries in the league.
It isn't his fault they don't use their cap money wisely.
In fact it was Bettman who brought the salary cap in which made it feasible for the Jets to return and levelled the playing field for all teams .
If they spend the same as everyone else, it is the GMs fault they don't win, not Bettmans