I was looking up whether standard Titebond was a PVA glue (it is, but with some extra resins in) and came across this site where someone had tried out a lot of wood glues, with some slightly surprising results.

http://shropshire-woodsmiths.co.uk/woodglue-test/

Note that the Titebond hide glue has a 1 year shelf life - so you the quicker you use it, the better.

Also note that the Titebond type II is pretty waterproof, so can be hard to steam apart if you ever need to part a joint, and Titebond type III is very waterproof (marine ply level) so would be be almost impossible to steam apart before you did serious damage to the rest of the guitar.