When I got my TAC A1 - my first bolt-action precision rifle - I too ordered a one-piece Burris mount for the first-gen Vortex Razor I was putting on it, because that's what I'd purchased with a DMR-variant AR I had earlier. It worked... so I stayed with the familiar.
I took the TAC A1, optic, and mount to be mounted by a very well-known and well-respected gunsmith who's been a friend of mine for decades. I was on new ground, so I wanted to learn the right way to mount the optic. Using two of his rifles for demonstration, he showed me how the rings could be set relatively far apart at optimal positions on the scope and rail, while the one-piece mount's narrow ring spacing put the rings very close to the turret housing. He asked me if I thought the narrowly-spaced rings on the high one-piece mount, with that mount's relatively small-sized "connection" between optic and rail, would be as solid as the more substantial separate rings attaching the optic to the rail at two more widely-spaced points.
It took about two minutes for him to demonstrate to me that one-piece mounts are not optimal on a precision bolt gun. Separate rings simply provide a more solid, substantial foundation. Will a one-piece mount work? Sure. You can put cheap tires on your car and they'll get you down the road, but if you want optimal performance out of a car intended for performance driving, wouldn't you want tires equal to the rest of the platform?
My $0.02.