I think he meant removal of a frown, had there been one, would have been an unrealistically slow job with a fine hone like the cotillon, and something more aggressive would speed the job up with no ill effects. This would be less significant if the edge is actually straight, and I don't think disagreement on this, from pictures, is a matter of either party being as blind as the proverbial. Most cameras with fairly wide-angle lenses alter the straightness of lines, and this is accentuated in closeups.

If the blade is simply in the condition of the usual antique-shop razor - not exactly abused, but nearly - the necessary honing would also be a lot to do with a very fine stone. I've never used a cotillon, and I'm not sure how realistic are the claims that when used with a slurry, generated by rubbing with a small piece of the same stone, it cuts as fast as a considerably coarser one, reverting to slower polishing when water alone is used. for this you would need to hunt through threads on the cotillon, or hope for guidance from people who use them.