Does the gear shifter on a 2003 TJ automatic light up?

Mr Blaine recommended that bulb as a great spot for “light on “ feed for powering a new switch panel supporting air compressor/lockers. I was unaware there was a light bulb behind the panel, as it had never worked in the 11 years of my ownership!
Double plus for me as it worked like a charm.
 
After 9 years of ownership, I just recently noticed how hot the switches, heat controls, and dash get from the light bulbs.
Almost makes me think about getting LEDs.