I have both, an original Remington Rolling Block that was rebarreled unknown years (many) ago and a Shiloh Sharps.
The Rolling Block was an advantage "back in the day" because you could always get the action closed, even if you had to hit the block with a rock. This might have kept you alive in case of emergency. The Sharps was more cumbersome to load because you had to half-####, then drop the lever, then load and finally come to full-####. You ran the risk of breaking the firing pin's tip off if you simply dropped the lever without first coming to half-####. The Remington action is extremely simple, consisting of 5 main parts and a trigger assembly.
The Shiloh Sharps tend to be much more finely finished than most Rolling Blocks on the market now, tis true. But they are one shop, and the preeminent shop at that. But anyone who handled a Lone Star Rolling Block can tell you that they were built and finished to an equally high degree.
One could argue, successfully I think, that the Winchester 1885 was superior to both due to the speed at which you could fire it. No half #### then lever then full ####, no full #### then rotate the block by hand, no nothing. Drop the lever, insert a cartridge, raise the lever and shoot. Come to think of it, I have one of those too (Browning) so I really don't have a dog in the fight!
#45-70Problems