Bhart, last week I loaded up 600 rounds of .223. I used BR4s, Tula SRP, Tula SRPM, Wolf SRP, Wolf SRPM and Wolf Small Pistol Primers.
I tested 10 of each, and I think the ES was no more than 30fps. That's over 6 different kinds of primers. All loaded up on a 1050. I'd just load 100, then grab another primer tube and go to down.
I doubt you're going to have an issue with them. I know .223 and .338 are a lot different, but i bet if you shot all these .223 in the same mag you'd still get a good group. I loaded up 30 of them mixed, put them on a 16 inch AR and with an ACOG hit 30 for 30, quickly I might add, at 400 yards.