I wouldn't have a huge problem going a few days without food. It would suck, but honestly wouldn't impact my life in a negative way at this point.
My kids, however... even if there were no physical repercussions, the amount of distraction that them being hungry would create would effectively prevent my wife and I from getting anything done.
While it may seem tongue-in-cheek, I'm also serious. Keeping non-productive family members comfortable during a disaster is very important in that it allows the productive members to apply themselves to resolving the situation.
About a decade ago, my wife was breastfeeding our first daughter. She had also gotten ill with some sort of gastrointestinal bug, and her milk supply had all but stopped - during a major ice storm in north Arkansas, which took out our electricity for almost two weeks.
We didn't have an emergency fund at the time and had very little money in the bank. There was plenty of food and water at home, but we ended up driving a dangerous and nerve-wracking 50 or so miles over terrible roads, in an unreliable and unsuitable vehicle (a two-wheel-drive '98 Ford Ranger with nearly bald tires).
It all worked out well - I kept it on the road and we made it to a hotel near a hospital, my wife's illness cleared up, and we didn't even end up needing to see a doctor - but my point is that my dependents forced me into an action that otherwise would have been far too risky to take. Had it just been me, or even just my wife and I, we would have been content to drink our stored water, eat canned food cooked on a camp stove, and sleep on the floor in the living room in front of the gas fireplace. Adding a newborn to that equation changed things drastically.