A multitude of sins could hide under those bases! The drawing in TBS shows some short of groove cut into the body side of the rifle IIRC, but actual collimation of the axis of the rings to the axis of the bore requires much more precision I suspect. Could be any cold chisel work now seen was done on the Continent when scopes and bases were refitted to a second or third rifle? Was it supposed to be done? Not according to TBS I believe, but why send your battalions few rifles or scopes off to England when you might not get them back again until...?
The dovetail permits no tweaking and neither do the rings, and all those screws along the bottom of the base would pull it in tight against the body side, so without bits of shim stuck in here or there under the base, how to adjust when setting up?