If the crossed rods of the honer are set at an angle narrower (more acute) than the edge angle of your knife, the 'shoulders' of the convex will only make contact, without touching the edge itself (apex). If the honing (grinding) is taken far enough, the convex would eventually be re-ground to a V-edged profile matching the angle set by the honer, after which it would be easier to touch up the edge.
If your edge angle is currently narrower than the honer's set angle, you could still use it to maintain the edge, though the small microbevel created would still be a V-edged profile, but smaller than if done as above.
I'm assuming since you created the new convex with your Work Sharp, you'd not want to immediately start re-forming it to a V-edged profile with the Hunter Honer tool, which would effectively replace your new convexed edge. There are better and perhaps easier means to maintain a convex, such as mentioned earlier with sandpaper, used more or less like a strop. A strop with some compound aggressive enough for the steel would also be useful for maintaining the convex, needing sandpaper only if/when the compounded strop isn't quite aggressive enough to restore it.
David
