You'll have to ask those other teams.
But one huge difference in scheduling: we're in the SEC. Army is an independent. That means we get 8 of our 12 games on our dance card each year courtesy of the conference schedulers, and only have to come up with 4 on our own. Plus, we're a Power 5 team scheduling OOC opponents who know they're likely to lose to us, but do it anyway for a payday.
Army is an independent, who must schedule all 12 games through their own efforts each year. Well, one is set in stone (Army-Navy). The rest, they have to go out and barter for. Plus, they're not a Power 5 program, so don't have the big $$ to pay another lesser team to come lose (probably). Nor do they face many opponents who sign up for the contest knowing they're probably a big underdog.
It's really just a very different set of circumstances and demands surrounding the two program's scheduling requirements. So even if one accepts your premise that hurry-up is just a gimmick (I'm not sure I'd categorize it that way), it doesn't affect scheduling nearly as much as Army's choice to use the triple option does.