moms and dads (who aren't engineers) with high-end DSLRs when they should be carrying around point and shoots.
DSLRs have near-instantaneous start-up time. Focus speed, exposure calculation, and flash charge can be dramatically faster than a point and shoot.
For these reasons alone, if I were photographing children (i.e. unpredictable, moving things), I would absolutely use my DSLR over my P&S. And that's not even getting into the vastly superior lens quality of all but the cheapest DSLR kit lenses, or the much larger sensors, capable of gathering more light.