Do not sharpen it with a Sharpmaker! They are made to sharpen knives with a flat ground secondary bevel. Even attempting to put a micro-bevel on a zero-ground convex blade is trickier than it sounds. Rockstead recommends a specific stropping regimen on their website. Stropping is the way to go for someone who is not an expert as sharpening.
I take your point, but stropping out a chip will take a while, and if you use a coarse grit sandpaper to speed things up, you'll have a scratchy line along the edge shoulder. For sure, a Sharpmaker will change the convex edge to a V edge, but that's not a bad thing -- just different. The Rockstead recommended way to sharpen is to freehand strop on a soft backing. Because it's freehand, everyone will put a different convex edge on the blade.
Some years ago, Chris Reeve said he worked 6 months to develop a convex edge for a Sebenza. His recommended way to keep it sharp: the Sharpmaker.