As far as heat generation goes, turning the backlights off does not reduce the heat by much at all. Most of the heat generated is from the TV Tuner chip front end in the radio.
Even with the backlights off, the display itself is also still active. Aim a light source from an angle and you can see the display still running. Being LCD though, the display itself draws very little power, hence the lack of heat production along with the backlights.
I also run my SDS100 with the backlights always on regardless of power source. I'm never away from an external source to ever deplete the battery though.
Uniden still gives the user option to reduce or turn off backlighting as every little thing you don't need can increase battery life for those that do run portable all the time.