Considering how fast space craft are moving, the sheer numbers of potential enemy craft and the fact that the Colonials are advanced technologically, I would expect that the gun turrets are automated defensed run by "targeting type computers."
Of course, it could be argued that the Colonial Vipers and the Cylon Fighters were "manned", not remote controlled, And if the fighter pilots can attain and fire at targets quickly enough, why not turret gunners?
So... I still say remote controlled turrets!