I have a much more subjective preference--

I am a newbie to Doubles but I think I can get the rimmed hulls out much faster with my fingers and reload at speed than the rimless variety!! That matters to me!!

I would think the primary concern would be that rimmed cartridges operate at a lower pressure and if I screw up and use a hot, high pressure, high velocity rimless round I risk extraction problems + the chance I may screw up a $10K gun.

Big Doubles don't get used heavily but I would bet the lower pressure Doubles would probably last longer.

But what do I know?

There are those here with infinitely more Double knowledge and experience than me----