That's not true (see the usage note):
http://www.bartleby.com/61/51/B0485100.html
You could just as easily say, "What to bring to college" and "What to take home." The difference is that "take home" implies movement away from somewhere to the home, whereas "bring home" implies movement to the home only. (You'll note that they mention "take" means movement away, while "bring" means movement towards; in this case, the adverb "home" already means movement towards, which is why "bring home" means movement towards only.) You'll find that most people will not even recognize the distinction, and in any case, the lack of distinction "bears no particular stigma of incorrectness or illiteracy."