Probably why I had a similar issue with a AR in 6.5 Grendel. Short chubby case. After resizing full length would not chamber. I was told a small base die would eliminate the issue. Still need to try.It usually starts as a click right at the top end of the bolt lift just before the extraction ramp and into it. So basically the bolt has to kind of pop the case loose from the chamber. Next level is the case sticks and you experience hard bolt lift. The final level is the sob sticks in the chamber and you need rod to tap it out.
I experienced most of this around stage1 3x, stage 2 4x, stage 3 5x. Stage 3 I was in panic mode and digging into the issue. Like you, I've never had this issue before. In talking to whidden, they said it is more common in short magnum style cases and heavy web brass. I think because the whole issue is so weird people are struggling with the premise. For example, why does a SAUM or WSM not have this issue. On another note, there is a reason small base dies are made. It addresses this issue in other cartridges as well.
I think you mentioned you had base of your chamber opened up .002 in your PRC and no more issues?