I'm a very experience precision (NRA highpower/NRA prone/PRS) rifle reloader and I can tell you for a fact that primer pocket cleanliness is extremely overblown. I don't worry about it and suggest you don't either.
I don't know what the "Lebowski" method is.
Here's what I do (rifle or pistol):
- Fill tumbler with cases
- Add dish soap and lemishine, amount not critical
- Run tap till water is scalding hot
- Fill tumbler drum till water is over the top of the cases
- Put drum in tumbler and let it run while I do other things (usually 1 - 2 hrs)
- Drain out dirty water with cases still in drum
- Fill and drain the drum (with cases) a couple of times with tap water
- Empty drum into media separator and tumble cases a few spins to drain out water
- Line toaster oven bake tray with aluminum foil and spread cases out on it
- Bake at 240 F for 30 min
- Lay out to cool
Cases are spotlessly clean outside and relatively clean inside. Note: I don't care about cleaning the inside of them either. Then I deprime and move on with the rest of the process
Oh yeah, no SS pins/media involved. Completely unnecessary if all you want are clean cases. I don't care about shiny cases, only clean ones.
I'll repeat the tumble and dry cycle with rifle cases after resizing to remove the die lube. I use carbide dies for handgun cartridges so lube is not used.