Not my method, I did not develop the technique and or method, but I had help in sticking a few cases, friend had a small ring Mauser chambered in 7.65mm39 Russian that had accuracy problems and did not have dies, the rifle was built by a friend (smith) with little details but with the understanding the rifle was built because of the availability of 'cheap' ammo, THEN they decided to turn it into a bench rest rifle, problem, the distance from the chamber to the lands was not considered a jump, it was in my opinion a 'leap'.
They did not have a lot of reloadable cases, I do/did, (saving the stuck case) I will not say this will work on longer cases as in 30/06, 270, etc., but it does work on shorter cases. Older RCBS dies have a small diameter primer punch/sizer ball assembly, the assembly is not strong enough to punch much more than the primer out and should not be used when necking cases up without a good lube. Later model dies have an assembly with a larger diameter that is stronger and can be used to push a stuck case out if done slowly.
With all the help and no lube on a case one case stuck, they thought the day was over, I jammed two nuts togather on the stem above the die and screwed the assembly down against the stuck case, then slowly added pressure, do not know if pushing on the case from the inside made the case longer and by doing so reduced the diameter, WE stuck two cases, both were pushed out, could be something to pushing verses pulling, cases that are stuck and have a tapper do not require much movement.
Pulling stuck cases, like everyone else I drill and tap the flash hole, I place a support ring over the stuck case that sits on the die then insert the bolt through a support washer on the bolt with a nut threaded on the bolt above the washer, then thread the bolt, washer, nut assembly into the drilled and tapped flash hole and secure, instead of tightening the bolt, I hold the bolt with one wrench and turn the nut down to apply pressure on the washer, this method removes the case by pulling instead of pulling and rotating.
F. Guffey