The Styer was described as a semi-automatic single shot in that the spent case is ejected, leaving it ready for the next cartridge to be manually inserted. It did not say if inserting a fresh cartridge tripped the mechanism to close by it self or if it had to be manually closed. But manual operation can be pretty quick anyway, even on a very large weapon, provided the mechanism is smooth and well made.
The same article also mentioned an SR-50 (.50-cal) from, I assume, Knight's Armament Company. It looked longer, heaver and a little ungainly but it says it doesn't weigh any more than the Barrett.
Again, I think there is the danger of assuming away the basic problem of hitting a small target (as an anti-personnel weapon) at ranges beyond 2,000 yards, besides which there is the basic issue of locating targets that far away. These are not weapons for just anybody. All the same, for certain uses, they would appear to be a useful addition to the selection of weapons in infantry units, and they are in fact now becoming widely issued, if what I have been told is true.