This appears to be happening stateside, and most, if not all, of the listed bases have nearby grocery stores (I'm saying most based on the ones I recognize and know where they are, I didn't look up the rest). This is an annoyance, not a massive disruption.
Honestly, it probably creates more disruption for the retirees in the areas around the bases than it does the local active duty members.
I agree that it is an important role that would be worthy of disruption for a motivated attacker.
But also: These things aren't usually at the center of vast food deserts. There's typically other ways to find some grub, like the Wal-Mart right over there.