I actually found after some experimentation that if anything, convex bevels can be more trouble than they're worth. They don't necessarily cut any better, aren't necessarily any tougher... and they can be decidedly more difficult to maintain, especially if you intend to use a Sharpmaker or some other form of guided sharpener to maintain the edge. Ever wonder why some people find the Sebenza almost impossible to sharpen on the Sharpmaker's "coarse" stones? It's because they use an obtuse enough convex edge that even the 20 degree stones have to grind through a shoulder before they hit the edge in many cases. Combined with the fact that their factory sharpening isn't always 100% perfect, this can make the knife a pain to use until a new bevel is set.
Personally, I reground my Sebenza at a significantly more acute angle, actually convexed it by accident (though this had more to do with inconsistent technique than anything else) but made a 15 degree secondary bevel on the Sharpmaker. The convex edge was near 10 degrees or so before I put the back bevel on. The result is I get the best of both worlds; the knife glides through most materials as though they were made of butter. I also thinned the tip slightly in the process, and now it's almost the same angle as the rest of the knife (still more obtuse, but I ran out of sandpaper before I finished.)
IMO, though, there was only a small advantage in cutting ability over doing a multibevel, and I sacrificed toughness a bit as the edge is now thinner than if I took the multibevel approach. It's no harder for me to maintain a convex back bevel, but I still make the edge itself a flat grind for maintainability. If nothing else, the ability to do meaningful touch-ups with a pocket-sized stone with little effort makes the flat grind attractive. Sandpaper and leather aren't as easy to take with you or use in the field as a small stone, and if you need your everyday maintenance to be idiotproof, the Sharpmaker and Lansky systems also benefit.