I get it, it does makes sense. A body lift would eliminate the concern with rubbing at the 12 o'clock position and the need to mess with the bump stops when fitting a larger tire, but it's not as simple as doing a BL and you're good to go.
I believe to fit a true to size 37" tire from my experience one would need 1 or 2 things a body lift won't address:
1. more extreme chop of the body mount (may need a relocate)
2. more ideal alignment with 3.5*+ of caster to push it further from the body mount.
3. more suspension lift than just a sensor lift for more BM clearance. (this will help in some and not in other situations)
4. Upgrade bumps
My current 37" KO2's fit with 2.5* caster, a sensor lift, 4 upgraded bump stops, rear mud flaps intact, and occasional kisses to the sway bar at full lock. I know they are closer to a real 36" tire.
I've thought about trying out 39" KO2's and it's obviously an even more slippery slope. One of my cam bolts in my LCA in seized so while I can get 3.9* caster on one side, I can't on the other without spending about $1k for new LCA and all. Things to consider and address before anyone takes the plunge and ends up having to spend way more money or time to get it to work.
Also I know quite a few are re-geared, but be ready for a much slower top end. When I went from my 315/70 65.5lbs to the 37x12.50 64.8lbs I didn't notice at all on the bottom end with my 8 speed, but man did it suck the power on the top end. Here is a couple pics of over a year ago when someone hit me and I had a free shot to cut the other QP and bumper to see what it looked like with the free high clearance look.