I've found the short-necked 357 to be a little fussier to reload, but thanx to a GTist whose name I don't remember, I now use a .40S&W die in addition to the 357 trio in my 4-hole Lee Turret Press. I've removed its decapping pin and I first full-length resize (WITHOUT using any case lube), then go thru the 3 other dies normally, and then reresize the completed round in the .40 sizing die. This requires 5 strokes, but feeding is now dramatically improved. I also turned the 357 sizing die down the maximum amount to resize as much of the neck as possible; that increased considerably the bullet tension, altho I was NOT experiencing any bullet setback previously. BTW I also outside-chamfer case necks for this and my 10mm; that too helps feeding reliablity with these aftermarket barrels.