Oh, that really sucks

With a universal stone or a family-specific one?
All the variable-breed pets I've upgraded have kept their breeds so far, unless I haven't been paying attention (Scourged Whelpling, Fluxfire, mechabear, gilnean raven, infinite whelp, ghostly skull...) I have enough trouble trying to find a rare 20-speed rabbit that I honestly don't have the stomach to camp the rare spawns for specific breeds in rare >_<