Well, upon further evaluation ... the pin itself is not too small ... the spring loaded rod is too long. I think I totally misunderstood the above post about getting the wrong pin, I thought you meant the little pin itself, not the whole assy.
I should have seen this right off, but the web of the .327 case is apparently way thicker than Dillon expected, because the pin holder (the threaded thing) hits the inside of the case way before the stroke is finished. Being basically stupid, I just kept pushing the handle thru its stroke, not realizing the nose of the pin holder (the threaded thing) was pushing against the inside of the case deforming it and swageing it against the depriming pin itself.
Big Dillon screw up to not see this coming, but big ME screw up for not realizing the problem sooner. Hey ... only been two days ... normally it takes dumb left handed Swedes months to discover stuff like this.
I backed out the depriming rod four turns and it works fine. Pass this on to anyone you know loading .327 with the Dillon dies, although I am sure most people just figure it out after a short period.
I am calling Dillon tomorrow and report what I found. They most likely don't sell lots of .327 dies ...
Thanks for the help from everyone ...
John