Greetings Synthetic,
The RCBS swage tool is designed for removing the primer crimp on military cases. I used a borrowed one years ago and it did a reasonable job but I don't think this is your problem. If the pockets are just too tight, narrow or shallow then the primer pocket uniformer will be needed. if it is just a sharper than normal corner from head to the pocket a reamer or uniformer should do the trick. There is however one more possibility. With some priming arms the punch is threaded into the body of the arm, My old Lyman press wasn't but my current Redding press is. You may want to check that the face of the punch is above the floor of the shell holder or adjust if needed. Lastly in spite of reaming my ex military cases some are still a bit sticky when priming so a little waggle of the case as the primer starts seems to help rather than brute force. I use a Lee hand primer so this is easier. Hope this helps.
Regards Grandpamac.
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