Respectfully, I think HwangJo and David are talking about two entirely different cutting tasks. It's worse than apples and oranges. It's soft fish versus tanned leather! I haven't cut much leather, but what I did cut was definitely harder use than any meat or vegetable I've ever cut. WAY WAY harder.
David, I think you should try a coarse edge. Coarse edges last longer than fine edges when cutting things that are moderately to very tough. There's been a bit of discussion about that here over the years with numerous members sharing their experiences with coarse edges. Over at the chef knives to go forum there's a discussion going on right now where Jason B tells about his experience with a 300 grit edge vastly outlasting an 8000 grit edge, as tested by a CATRA machine. That's controlled real testing.
Your question about sharpness is interesting because sharpness is about two things: Edge thinness at the apex. Polish of the edge bevel. With even a very coarse edge, you can get a very thin apex that will cut most things like a demon. An edge at 100 micron with just a tiny bit of stropping will shave some hair, and cut cardboard, rope, paper, etc VERY well and have a high degree of useable sharpness.
Polishing the edge makes it work better for push cutting tasks like shaving hair, whittling wood, etc. I'm not sure what kind of cutting stroke you use on leather, but I suspect a low grit edge would cut very well and outlast your high grit edges by a factor of 2 to 3. That's what my experience is when comparing a 100 micron edge with a 4 micron edge.
When trying a coarse edge, the mistake most people make is to not fully deburr the edge. Spend some extra time making sure the edge is very clean. Maybe draw the edge through cork or soft wood. Perhaps strop 5 to 10 times per side on loaded leather. Then your coarse edge should really sing.
This is a really interesting topic. I'm anxious to hear what you figure out with your cutting and sharpening!
Brian.