If it is aftermarket, it is most likely just tied in to power on when the reverse lights come on. My suggestion would be to tie it into the parking lights. Then, whenever you want it on just turn on the parking or headlights.
I'm always cold when flying, so I just layer up. Jeans, sweatpants, short sleeve, long sleeve, sweater, jacket, hat. Then, I put various items in my various pockets. Phone, earbuds, snack bars, bar of soap, small articles of clothing, maybe a tshirt in my jacket pocket, a shoe in each sweatpants pocket. The rest goes in my carry on, no luggage fees.
It is degrading and shitty and you bet your bottom dollar they know it. They use this language as just a smaller part of the larger machine the right wing government uses to gather tone deaf and ignorant citizens and encourage them to hegemonize people who don't look like them. I'll tell you that for free.
Unfortunately they make obscene money selling these, and allowing the user to replace the batteries easily does not equal selling more sets. Your average user would likely just purchase a new set.