It seems like some people are insinuating that the .338 as the military's standard sniper rifle is some kind of pie-in-the-sky fantasy scenario and the .300 Win.Mag. is practical and the DOD is being practical.
The .338 Lapua Magnum was created to be a long-range sniping round, right from the start. The Marine Corps contacted Jerry Haskins who owned RAI, in 1982 and asked him specifically to develop - from scratch, a long range sniper weapon system. One of the early versions was chambered in .300 Win. Mag but Haskins believed (and was correct, IMO) that a better sniper round could be invented rather than choosing from existing cartridges of the time.
In 1986 the .338/416 cartridge, with a Lapua bullet and case, won the 1000 yard Navy Rifle competition in Quantanico, Virginia.
CPO Chris Kyle recorded a 1,920 m (2,100 yd) kill in Sadr City in 2008 - with his McMillan Tac-338, one of the longest confirmed kills ever and the 4th longest confirmed kill by a United States serviceman. The record for the longest confirmed sniper kill was set by the .338 Lapua Magnum used by British Corporal Craig Harrison with a confirmed kill at 2,475 m (2,707 yd) in 2009, in Afghanistan with his Accuracy International L115A3 and that record stood until last year when it was beaten by a Canadian sniper using a McMillan Tac-50.
The .338 is not some fanciful impractical cartridge. It is a military cartridge, developed for the military from inception as a sniper cartridge. It is a thoroughly field tested, proven in combat, tried-and-true sniper round.
I don't know what was behind the choice of .300 Win. Mag. but it doesn't seem to be a better choice than the .338 Lapua, just from a proven performance stand point.