I've used an inertia (hammer) type bullet puller for years when needed. It works very well, and all components including powder, primed cases, and bullets can be re-used. Precautions must be taken to avoid mixing different gunpowders. They are less costly to use versus buying a different diameter collet for pulling various calibers.
I've only used a collet type bullet puller once, a Forrester-Appelt in .30 caliber. It worked OK, but was a bit slow and left light marks on the bullets. I'm sure they could be re-used, but don't know if the minimal damage could affect accuracy. These were not cartridges that had the bullets heavily crimped.
A lot of military surplus powder has been harvested from ammo that was disassembled. Same with mil-surp bullets. So re-using components is nothing new. When I used to use a ball puller to unload my flintlock rifle at the end of a day of hunting, I'd keep the lead roundball and use them later for plinking at groundhogs or other targets. I'd just try to center the hole in the ball from the puller so they weren't unbalanced. But then Pennsylvania made it legal to travel in a vehicle with a loaded flintlock, as long as the flash pan was empty. A lot of guys, including me, used to fire their flintlock at the end of the day to unload it, but then you'd have to quickly do a good cleaning job to avoid rust and pitting.
I'm not sure how well trying to resize cases that were bulged behind the shoulder will go. I felt it might be worthwhile to try rolling the bulged cases between two plates of steel to work the bulged areas back down. Don't forget to remove the decapping pin if you attempt to size cases with live primers.
