The dies that load 1911 etc. work fine for a K31 but not the converse. The ones I have are LEE both Full length and Collet neck sizing. I have found that you can not size a K31 fired case too much. Too little and you work the rifle too hard, slamming the bolt home. What is the better deal, K31 operating rod or a few brass cases? The K31 specific dies are fine, but as Parashooter said, it is a solution looking for a problem. If you buy a 1911 or 96/11 rifle, you will need the earlier type of die.
Dave