I plan on relocating my PIAA's to the rear when I get a winch but I have an after market rear bumper so the install would be different.
I say go for it.
Think about a 5 wire relay so you can tie to the reverse lights and have an aux switch interdependent of the reverse so that they can be illuminated by a separate switch on those occasions...........when they are needed.
But don't forget the diode & I am not sure if the reverse light circuit uses PWM but it probably does so you would need to isolate / buffer with some caps.
Black Forest Green 2012 JKU Sahara - Used to love her, had to trade her.
Rhino 2016 JKU Rubicon Custom. MT, 3.5" Metalcloak Lift, Metalcloak Full Width Front Bumper, Atlas Rear Bumper, 315/70/17 Duratracs on 17x9 Warlords