@JMaxB My understanding is that Elmer's contains PVA, but is a mixture of other non-toxic substances. As a result it can yellow and crack over time. I chose a neutral pH glue specifically for bookbinding, which in my personal tests and those I've heard about from others (including some professional archivists) gives a better result, particularly for these types of bindings where later removal is useful. It's a bit more expensive, but not prohibitively so. I suspect I'll also use this for some woodworking applications as well.

I've heard people use Elmer's glue for this with reasonable results, but you might want to try at least three coats.