
Not a bad idea, I have a cargo van with blocked out rear windows and my back-up camera set to display 24/7 while driving, I find it helpful.
Like the other poster mentioned, I wired to power as opposed to the back up light so it would come on when I press a button rather than when I set it into reverse - but it was an aftermarket camera I installed and not a factory camera.
You may want to see if anyone on a Chevy/GMC truck forum has had luck with the rewiring if it’s factory.
Best of luck!
Your thought process makes sense and your effort to change when asked is appreciated =)