I use a
linisher for all types of sharpening tasks - knives, chisels, mower cutters, etc.
A medium grit linishing belt has a number of advantages over a bench-grinder wheel. Principally, it runs relatively cool and there is far less chance of overheating the metal and destroying its temper.
Also, the belt is a lot wider and this does away with the need to skillfully move the workpiece at a constant angle.
The linisher that I use has an adjustable 'rest' that can be set at the desired grinding angle.
(When I'm sharpening knives and chisels, the linisher is only used to grind the primary angle - I hone the secondary (cutting) bevel on a fine oil or waterstone.
With your mower cutters a medium grit abrasive belt would produce a pretty good result, without much effort.
My linisher is similar to the one shown.

It's a very handy tool for all sorts of metal projects.
Ed