One could try making a pot-holder size "quilt" - just serge the edges - and try washing that a few times to see what would happen.
I'd kind of like to know if the paper clumps up like tissues/kleenex does when I've forgotten to take it out of a pocket - or if it would just sort of turn into lint .
Can't say I'm quite curious enough to actually try it myself, though.
Way back when, people used newspaper for foundation piecing. Wonder if they took the paper off or left it on?
Have the inks and paper processes changed over the years?