They do, but thats a manual control.
Often automatic systems have a override mode for checking operation or whatever, too. On mine it'll go down to 65F and then it will skip to 60F, which is full cold. IIRC, it goes to 85F then skips to 90F for full hot.
I still have to verify operation of my repairs. I mean, its blowing ice cubes out of the vents, but its also been 60-70F outside, so not really any load.