I believe the breed is indeed quite obscure, only popularly known from a 2001 episode of The Simpsons, correct?
Maybe there's cows who's milk is only used for cheese and cows who's milk is only used for ice cream? And maybe they live in cold climates?
Never was a farm hand, but I am a biologist/biochemist, so take my reply however you will. I think that any cow that is specifically bred for dairy produces milk that can go on to create cheese and/or ice cream. It's pretty much only what's added/done to the milk that makes those products different, not what type of cow it comes from. But there are cattle that are specifically bred for meat vs dairy.