[ sorry for the double-tap; I can't seem to delete only one of them ]
Unless you need devastating terminal ballistics at long, long range, as you would with something in an anti-material application, accuracy (that is, consistency) is more important than bullet drop.
In other words, if you already have ballistic tables for how your bullet will drop at the current range, and your scope has elevation knobs, you need only dial in the elevation and then shoot (ok, that's simplified, but you get the idea). Then the bullet must end up where you predicted it would, and that requires the entire rifle system be very consistent shot-to-shot.
The .308 is probably the most common choice today because the .308 replaced the .30-06 as the military round, and therefor it has been the focus of the most development, and the round itself is very well characterized.
That is not to say that it's impossible to build a very accurate "sniper" rifle in another caliber, just that it's easier to build an accurate rifle in a platform that has been the focus of accuracy development work chambered for a cartridge that's been well-studied for the last 30-40 years.
regards
Zak