I have some difficulty imagining the mechanism for this, unless they were just gobbed with rust pustules rather than mere superficial rust of the kind you always have some of on drums and rotors.
My nickel bet is that the rotors were going bad before the accident. And it is obviously quite common for the driver to give the brakes a massive stomping (perhaps not massive enough!) immediately before many kinds of accidents; this is followed more or less by definition by a sudden stationary cooldown.
How perceptive about cars is the family member, and how often do you personally drive this car? A lot of people, for various reasons including ignorance about things mechanical or obliviousness to the ways a car tells you its condition, not to mention the cost and hassle of getting repairs, seem to drive around with warped rotors for quite some time. (Not to mention the Sisyphus-in-the-Augean-stables aspect of trying to keep good brake rotors in some models, though I don't know if the Acuras are among those. )
Cheers,
--Joe