I don't see how it can work that well to be honest.
It can't scrub back and forth like I do with the cleaning pad.
For example, you have a fingerprint that's picked up some ciggy ash. Then that ash is pressed in with more greasy fingerprints. On top of that you then get some static attracted dust settling over time to seal it all.
I have in my minds eye an idea of what the PVA glue will pick up...
Perhaps that is an overly negative scenario but possible.
I guess if the glue if liquid enough it will soak in a bit but through grease layers - no. It will not act as IPA / water solvents with wetting agent, and a good scrub back and forth + the power of a good vacuum to remove all traces of the cleaned gunk.