I had the bullet-sticking-in-the-seating-plug problem, too. Both with Redding and Foster seating dies. I solved the problem by polishing the seating plug to fit the specific bullet profile. I did this by chucking the seating plug into a drill motor. I wrapped 220 grit Wet or Dry paper around the nose of the bullet, and inserted it into the seating plug, and spun the motor for 30-60 seconds. I stepped through various grits to end at 600 or 1000 to get a polished, less "grabby" surface that precisely conformed to the profile of the bullet.
I found it is important to hold the bullet aligned with the axis of the seating plug. If the bullet is held out of alignment, or "rocked" while sanding, the plug will still grab the bullet despite all the sanding.
The couple of times I have done this, to both a Redding seating plug and a Forster seating plug, it has worked really well.