I have a 27" sansui tube TV.
I don't know about THIS model, but mine remebers the input, but not the power setting.
HOWEVER, if you hold down the power button, when you plug it back in, it turns on. So if you're going to use this in a cabinet with something like the smartstrip, then you should be good to go, if it has the same feature. Just tape the button down (or if you take it out of the case, use something to keep the button on the circuit board held down. No problems!
