Adam,
I like Alton Brown, but sometimes I wonder about that man. There is absolutely no reasonable explanation for adding aspirin to dough. If one wants to add ascorbic acid, fine, but aspirin is just a waste in every respect. It costs more, it doesn't benefit the dough, and it decomposes at 284 F. You would benefit from adding acne medication and vinegar just as much as adding aspirin. Not only would that be unpleasant tasting, but also unwise. Salicylic acid is just plain nasty stuff.
- red.november