I know how important level is. I would fully miss half the Pennsylvania groundhogs I shoot at, if not for minding level with each trigger pull.I like to shoot groups that are as small as I can make them, so I do bother myself about shot to shot consistency of rifles' cant. or lack thereof.
What I've suggested is that the bubble level I mind is purely perpendicular with plumb, and not directly associated with crosshair, or gun, or target. I would shoot as well with no more than a dot for POA (level wise), but I'm sure a crosshair provides better POA, as fixed by our visual processing. My hunting shots are also off Harris swivel bipods, and not rigid rests.
I don't think a level functions with gravity, but with buoyancy. It would not be easy to plumb a rest, and/or any gun area/contact you don't actually aim with, and then set a level perpendicular with that plumb, so that a gun might actually recoil perpendicular to plumb. There would always be stacked errors there, but BR shooting allows for sighters, and half the credit in it goes to precision, with then only half to accuracy.
A good number of my shots rest on a considerably canted bipod somewhere between cow patties. The barrel is not indexed,, the action is not bedded and fixed w/resp to forearm flats,, neither is my base and rings. I did not establish level on the gun itself, with forearm flats interfacing well with an actually plumb bench top. This is fine though, as none of that would help me while shooting off a bipod. And only accuracy counts for me, no sighters.
So my level is established w/resp to scope adjustments & mounted to the scope, which I aim with. Given this, my aim is plumb regardless of all else. It's an option for hunters, who dial, and I doubt it would hurt a bit for some in BR.