Didn't you show me a neat little al cup with a threaded cap & nice knurling you'd made? I was thinking like that, the punch could screw inside it. Wasn't talking about the cap screwing on the punch, but that is interesting to.
Figure you could thread the cap & body on the lathe. Could make similar for dies, but instead of the cup part being threaded inside it could have an o ring groove down it there, so they'd kinda pop in.
If the outside bottom of the base were threaded they could all screw on a threaded base rack. More of the threading could be set up on lathe.
I've threaded a bunch by hand. Reducing the # of holes the special tap does makes them last longer. When I buy them it's usually 3 or more, the only thing that's certain, they break.
Brad might have night terrors if he opened drawers at home & found dozens of pill bottles.