I wonder if it would also be OK on the really old bakelite type LPs? My sisters have some 45s - a Beatles EP that's worth a bit for starters - that's made of the older stiffer material before the manufacturing plants moved over to vinyl.
As for me, I'd have to try it out on the "Wings at The Speed of Sound" LP. I knew I bought it for some reason years ago, damned if I know why, but to try it out with Titebond and test whether it works or not, would seem a good use for that LP (you don't really have any reason to listen to it!).