You don’t have to destroy them, just round the edges a little bit. That’s often recommended anyway, since a sharp edge can scratch your blade if your angle wobbles and your blade accidentally scrapes on the edge. That said, I’ve only tried to sharpen a recurve like that once or twice, and I’m not sure how successful it was.
I definitely don't care about this knife enough to do that to my sharpening stones.
It's there because it's an inexpensive knife. I wouldn't bother to sharpen it at that point. I do stand stones on edge when I encounter recurved blades but I'm not a water stone user so my stones don't suffer in the same way.I have a Victorinox Fibrox boning knife that has a reverse curve near the handle. How do you sharpen that part of the blade? And why is there?