There is some room to argue about the conditions under which the car can drive itself. If the car couldn't handle a high-grade, winding mountain road with an inch of snow on the ground and yet more coming down, I don't think too many people would be fussed is a "full self-driving" car said "uh, no" (especially as a good fraction of drivers couldn't handle that either).
To my end, if the car can't handle any condition that doesn't make me go "I think I should stay home," that should disqualify it.