I have recently used the SR & LR Dominion primers to load some .223 & 30-06 (have not fired them yet).
The .223 were reloaded with Hornady once-fired (by me) brass and everything went well with the brass that came from factory 55g rounds but when I switched to brass from factory 75g rounds, primer seating was problematic and a lot more pressure had to be used (and even then some didn't seem to even fully seat). Kinda strange. I did not measure the pockets.
The 30-06 were reloaded with Federal once-fired (by me or my son) brass and the primers went in extremely easily, almost to the point of wondering if they are tight enough. Now, I know Federal brass is claimed to be softer than others and I expect the primers to expand into the primer pocket on firing so I'm not overly concerned, but I'll find out when I shoot them.
I am glad to hear that others have had good success with them going bang as desired.