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That is a fine idea. To do it correctly you need a couple
of hone plates to make the progression easy.

Do inspect the edge and if necessary add "lots of tape"
and lap it on glass or some other...

The "machine" does all the work. It sets the pressure,
it sets the angle. If you open one side then the
handle will hone with a pushing motion, replace that lid
and open the other side it...