Sure seems like a lot of fuss for no gain. Case volume of the .303 British and 7.62 NATO are nearly idendical. Load either with the same powder charge and they give the same velocity and pressure, all else being equal. The 7.62 is normally loaded to higher pressure than the .303 simply because it's going into rifles designed for those pressures. Stuff it in a Lee and you have a choice of loading to the lower .303 pressure or pushing the safety margin with normal 7.62 pressure. But if you're willing to push the pressure up, you could just as easily do that in the .303 case.
If you really must re-chamber to a rimless cartridge, go to 7.65 Mauser, with a bit more volume to yield higher velocity at acceptable pressure (and it uses .311 bullets, too).