No, actually Benchresters don't weigh their charges, they throw them. Powder varainces are kept to a minimum by the quality measures they use, and most of all, by learning proper, consistent technique in throwing them. For their purposes, what little weight variance remains is absolutely meaningless on target.
Long range competitors weigh their charges, whether we're shooting Benchrest or prone, simply because at these distances, it does make a difference, and you can't run a measure to be as accurate as a properly weighed charge. Match the technique with the game.