"So what's a .32 Special?"
A Winchester rifle cartridge for the Model 1894.
Correct- it's essentially a .30-30 necked up to 0.321" caliber.
Also, the full given name of this cartridge is the .32 Winchester
Special, which can create another point of confusion. Some older revolvers chambered in .32-20
Winchester are marked ".32 WIN.
" or ".32 WINCHESTER
", prompting an occasional tale of woe and confusion when some unknowing person purchases a box of ".32 Winchester" ammo for his/her revolver, only to receive very large and obviously incompatible rifle cartridges.