Not sure how to be any more clearer about the problem and the climate controls that are involved.
My controls (on the "basic" Edge) DO NOT have a setting which automatically adjusts the fan speed or temperature. I have a dial, which I manually turn, to adjust fan speed and I have the same type of dial for the air temperature, which I also manually set. The on/off and where I want the air to come from, i.e. floor, dash, both, etc...are all a button to push (with an orange LED to show which is selected).
If you have an Edge SE, SEL, Limited, or a Sport, your climate controls are probably more feature rich (and more customizable) than the "basic" Edge. I do not know if any of the other models (SE, SEL, Limited, or a Sport) have the on/off problem. I can only describe the problems with the "basic" Edge's climate control settings. And hence know that many of the offered solutions do not apply to the "basic" Edge.
Oh & yes, I still have the same problem in my original post.