Probably not an issue in most situations, but if you're unlucky to have these monitors in a space where custodial staff who didn't get the memo might take it upon themselves to wipe some dust off a screen, or several screens... yikes.
Just set a screen saver that says "Don't touch me"
Besides, who actually uses screen savers these days? Don't most people turn off their monitors or put them in energy saving mode at the end of the day?
They typically empty out wastebins and attend to the bathrooms.
Makes it easier to clean and protects the paint