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, Tinted Windows, Chromed Door Handles, Star Fab Door Stops, Brake controller, Poly Filled Speakers, Black Hole Mod, DIY Grill Inserts, Blinker Mod, Aries Front Bumper, Spyder Rear Bumper, 2" Rancho Lift, Quick Disconnects, 9K winch, 315/70/17 Duratracs on 17x8.5 Warlords, IL-PU36, X-treme 9008 bulbs & PIAA's