The BladeForums.com 2024 Traditional Knife is available! Price is $250 ea (shipped within CONUS).
Order here: https://www.bladeforums.com/help/2024-traditional/
While I won't doubt drywall screen as I have not tried it myself, I would expect it's lifespan to be short making it rather expensive to use. I also feel it would be slow, it can be a workout to lap a Shapton ( with a diamond plate) that has been forgot about for a knife or two and I don't see the screen as something you could bear down on without issue.
You can get 5lb of SiC powder for $15 and it would probably last you a lifetime considering only about a teaspoon is needed to lap a stone.