By and large, in the target shooting game, the BR is a long range cartridge, and in that game, ES can be very important. Also, the way that matches are run does not make it convenient to load at the range ( I am told) so with preloading the rule, there is no reason not to weigh loads. In addition, the powders that are commonly used for high BC bullets are not as easy to throw to a narrow ES of charge weights as those typical of short range benchrest.
On the other hand, in short range benchrest, a very high percentage (almost 100%) of the competitors load at the range, between matches, making adjustments as needed. At 1-200 yards, ES has much less of an impact on group size, and the difficulties of weighing every charge outdoors, and the additional time that it would take are considerations that cannot be ignored.
It has bee pretty well established that weighing charges with a scale that is more accurate than +-.1 grain will improve vertical dispersion at 600 and 1,000 yards because of the reduction in the ES of velocities that it produces (as compared to thrown charges) when coarser powders are used. On the other hand, many short range matches continue to be won with throw charges, and I think that this speaks for itself.
If you want to do this test, and wish to avoid the variable of case volume and neck tension variations, all you have to do is to use one case for all shots, reloading it at the range. The issue of operating a scale outdoors, can be handled by using preweighed charges from suitable individual containers. There will be some change in neck tension as the case work hardens, but this could be reduced by using different cases for weighed and thrown charges.