You're missing the point, Mark. You can see my system. I go from one plate to another without taking my hands off the chisel, or re-orientating my body. Stopping, letting go of my grip, flipping a plate over, wetting it, re-taking my grip........that's a recipe for being a few degrees different, and ending up with Jacob's famous rounded bevel. It's different for plane irons, because I use a honing guide, so I could flip a plate......but I'm not going to have two different set ups, one for planes and one for chisels.
And they are in a holder. They're let into the piece of plastic, as per the photo and my description. The plastic is held down on the worktop. Nothing moves. I simply want a replacement plate to fit into my system. I don't want to be changing the way I sharpen after doing it like this for donkey's years.