I'm not sure the board will be ecstatic, I think most will be pretty disappointed. That said would that get him fired? Depends on who's in the win/loss column and what coaches are available.
If that's where the season is heading I'd bet money the AD will be putting out feelers to see what his options are.
7-5 or 6-6 won’t get Rhule fired. But it will put him squarely on the hot seat in year 4.