I'm thinking the neck tension is screwing things up.
Now if you were to take a dremel tool and put 2-3 vertical slits in the sized neck would be a different story.
With the method I use your bullet may get stuck in the rifling tap but of rifle on floor or use a cleaning rod to dis lodge.
BTW- If you need to use a rod, take off the jag first and be aware that you may mess up the threading on the rod. I use a long thin dowel from a crafts store OR an old rod that has no threading since it broke off a while ago.