My brother gave me some "gun show special" reloads once. They had the same problem you describe: primers not seated flush consistently. I was briefly tempted to try them but the more I looked at the rounds the more I disliked what I saw. Some rounds still had slightly belled case mouths. Some of the cases were either trimmed crooked or the bullets were seated crooked. After kicking myself for even considering trying them (inconsistent primer seating should have been enough to warn me away from firing them), I got my kinetic bullet puller out. The empty cases went into a gun one at a time to have the primers popped and then they all went into a bucket for eventual reloading.
So if you're going to decide on a majority vote, mark me down in the "heck no, I'm not shooting those" column. :-)
previously known as Kerberos