If you never met one of those people that say "hey, it's too hot here, let me lower the thermostat" just after they turn the AC on, you are a very lucky guy.
The controller controls the input. The state changes, because the control input is changed.
The thermostat is not a timer.
My point was, for any reasonable, non-autistic reader, it was perfectly clear that the GP knows how a thermostat works and that his point was that many people think the thermostat changes the temperature that the burner generates, or at least whatever is output by that burner/installation (be it water or air). Now I don't have an opinion on that matter, but I'm annoyed by your littering of the conversation over a slight sloppiness in expression in a context that doesn't call for the level of correctness you, from your high horse, are calling for.
There might be many such people but that is not what he said. I apologize that my comment clashes with your aesthetic preference of what a discussion should look like.
I am sorry... yes having a higher temp setting means the heat will on for longer (or ac for less) but it DOES change the temperature of the air. The thermostat measures the temperature and turns the mahcine on and off accordingly.