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In reality, the only advantage of a narrow hone is the possibility of using both edges of the hone to reach into the concavity of a warp (or a frown for those who hone those).

What people call...

More or less.
The only part of the hone that is capable of honing a concave section of a razor edge is the edge of the hone.

The non warped sections almost always can be honed anywhere on the...

I would respectfully suggest that you go back and reread my posts, because you are grossly misrepresenting what I said.

Yes, this site is about sharing knowledge and experience, so dismissing mine...

Or, may be not.... What good is a good wind without a good windchime...

That depends on what one's goal is.

When I simply want my razor honed I send it to Lynn - there is nothing better than this.

If I am stumped at why a razor won't get sharp and have no idea what...

If your razor has a warp there is simply no way to hone it without doing it on the edge of the hone. That's all there is to it.

If the whole razor edge is convex you are still going to hone one...

Actually in most cases you have complex curvature, but when you get to a concave segment it is the edge, not 1/8" near the edge.
At one point may be 5 years ago I played a bit with it and derived a...

The issue is the apparent misunderstanding of the simple geometry of honing leading some people to claim they need narrow hones and others to counter them that such hones are unnecessary because 'you...

It's not about severe warps or that 'it would work as well', I am saying that this is how it does work - there is nothing else.

If the curvature of the 'warp' is comparable with the imperfections...

It means what you think it means - the blue lines on the picture (from the original post):
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It's not hard to see why - when you place the convex profile of the razor edge on top of a flat...

I'm certainly not going to object to 'I don't understand what I'm doing but it just works' in the absence of something more useful.

I just find it odd and somewhat unsatisfactory when it's all...

I've never heard an argument about narrow hones for some abstract 'difficult edges', but I've always heard that narrow hones are needed to deal with concavity of warped razors (and frowning ones if...

Not sure why you are going into honing smiling blades as it has absolutely nothing to do with honing warped blades and narrow hones.

Really, next time you draw the concave side of a warped razor...

If seeing a line drawn helps you in some way to execute the correct strokes it's good, but the part of the hone that does the work is the edge of the hone.
That's why it doesn't matter if you have a...