For rimmed cartridges, I prefer Remington. For non rimmed. I prefer Norma, then Winchester. Norma is irrelevant in this caliber.Remington brass seems more like mil-spec brass,which is fine in rimmed brass. On the other hand,for non rimmed, Winchester is thinner,and this allows a little better load density before I get too much pressure. I reach higher pressure signs at a lower charge with Rem brass,thus lower velocity. In the 32-20,brass choice is probably irrelevant.