I think the reason this card works with a Strat is because it has a selector switch; just going by your description (I do have to read up on this personality card thing) it apparently changes the function of what the potentiometers do, leaving one to still be able to select what pickup will be affected by these changes.
IMHO, I feel these kinds of things are gimmicks designed more for the manufacturer to be able to make more money by selling the consumer more stuff. Most musicians (again, IMHO) don't want/need more options, they just want a few choices that give them their "ideal" tones. It would be interesting to see how many players use their tone controls (vs. pickup selection/blending) on a regular basis.