For about $6 at Home Depot they have a 2-pack of small LED lights that can be switched manually, or magnetically, for cupboards, etc.. You mount the magnet on the door and the light inside and when they separate the light turns on.
Amerelle LED Insta Lights (2-Pack)
Model # 71185 Store SKU # 542806
Seems like a decent solution although on second thought I'd probably set it up closer to the passenger side door to get the magnet block out of the path moving things in and out. Alas, the double-sticky tape is one-use only. There are two sets if you make a mistake but I'd already put the other light in the charge port to be switched on manually should I ever need it. I think I'll probably redo this but at least you get an idea... Time will tell if they are up to automobile vibration levels, etc...