i often work similarly to scott gossman, i do a flat grind almost all the way, then take some passes to start to convex it, then i even everything up on a slack belt then start going down through the grits with a variety of final finishes...
-down to either 15 or 9 micron belt, followed by a cardboard wheel with semi-coarse compound, followed by a cardboard wheel loaded with tripoli (finer than the other) then a handstrop with tripoli compound.
-down to 120 grit belt, then to a medium scotchbrite wheel, followed by the coarse compound cardboard wheel, followed by the hand strop.
-(by hand) a medium grit stone to set angle, 400 grit sandpaper to smooth and convex edge, up to around 1200 grit to polish, followed by tripoli strop or .5 micon film
all create the same effect, a highly polished incredibly sharp convex edge. in my experience, there is nothing better. the consistent and even finish comes with practice, as with everything the more you practice the more consistent your results will be.
as far as why a convex edge is good for things besides chopping blades...convex edges give you an edge that can be finished to a huge number of grits, can be varied based on use easily, and can be sharpened effectively with about $15 worth of materials.
the convex edge also allows the edge to be thinned quite a bit, but when sharpening it has a slight microbevel caused by the convex shape that improves the stability and durability of the edge. also, a high polish parts materials better and does not have such large "micro teeth" as coarser finishes, meaning that it is less prone to chipping, making for an even more stable and durable edge.