Have a go Chris is what I say, and if it works, great, let us know, and if it ruins them, also let us know, and we won't try it.

I have sharpened many chisels in my time, and usually use a preset angle guide, as I am not a naturally good sharpener of chisels etc.
I would have thought one of the flat Diamond type sharpening stones would be good for scissors, it's just keeping the angle right each stroke.
Good luck.
S.
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"A glint of sun has warmed the air,The flies will soon hatch out, To lure and tempt from their deep lair, The bonnie speckled trout."
SKB tackle supporter. I love Furled Leaders.