Yes. CCI told me the cups and priming mix and quantity are identical to the CCI 250. Only the anvil is changed to match the H-test sensitivity to that of the military #34s.
Do note that this is not actually a military primer. CCI makes those, too, but they have no nickel plating on the cups, and there is an elaborate series of proof of performance tests large samples of each lot of military primers have to pass. If they did that to this civilian version of the #34, the price would be a good bit higher.