Should? I suggest that's the wrong question.
Name a school that actually dropped from 1-A to 1-AA.
I hear North Texas did it way back- two years after the designation came into effect in the 70s. Of course, they found their way back.
Everyone else in 1-A with problems seems to just drop football. Pacific, Long Beach State, Fullerton State- and I'm probably forgetting someone, but it's caught in the crossfire of 1-AAs and 2s that have dropped the sport recently. If San Jose State continues to run into that brick wall, I think they'll drop football, too. It wouldn't surprise me if Buffalo did the same. If other MAC schools can't raise attendance, that'll be a different scenario- I wouldn't know what to think.
Well, when it comes to smaller schools, if you sense a trend here, you may be right. Texas and other "Confederate" schools are adding football if they don't already have it. Midwest schools are hard to read (the issue hasn't come to the fore yet). Schools on the West and East coasts seem to drop football if they have it and have problems with funding.
Idaho? That's another matter. I can't see a land grant institution dropping football. I think they'd actually stick around. The problem: Dennis Erickson probably buys them good attendance for the few months he can actually stay sober and keep his job. In the meantime, Doug Fullerton still pines for them.
them followed closely by Louisiana Monroe and Ball State