Note that I said I want a valve that behaves that way. I simple fitting for routing water. Not a handle, a trim plate, and a shower head, and valve. I only brought up the showers because that's the only place I've seen a valve that can go from hot to cold in a short throw, with only one control.
Surely there is a bit behind the wall that is just a valve with a stem on it, with two inlets and an outlet? I need that part. I'm not using it for a shower, I just need such a valve so that I can make an automated water panel that is controlled with only one stepper motor. I may be forced to buy a shower kit and throw everything away, but I haven't even been able to see what the actual valve looks like and what the connections are.
If someone knows a really clever way to arrive at the same kind of all-hot-one-way-and-cold-the-other-way action out of regular, normal plumbing valves, I'm all ears.