Comment by o11c
It says "screenshots of themselves". The application is responsible for rendering the screen in the first place so it fundamentally doesn't need a permission.
Now, what could reasonably be a permission is "access the internet", but our overlords don't approve of that thought.
(Contrast this to web pages, which do not render themselves and thus can sensibly be blocked from screenshotting)
Doesnt android already have a "network" permission? On some roms you can enable it/disable it on install of the app even