Different glues exist for different applications. titebond 1 is the hardest modern glue. It's great for furniture, but not great for things that will be exposed to water. It is hard so it doesn't absorb shock like gorilla glue would. Titebond 2 is just like 1 except not as hard but much more water resistant. 3, i believe is just even more soft, yet even more water and temperature resistant.
for musical instruments or things that you would like to come back apart for maintenance, the hardest glue that exists is a well made hide glue. It is not heat or water resistant, and luthiers like it that way. Just a little steam and the joint can be pried open. it also wipes very cleanly with a wet and warm rag and won't penetrate to ruin your finish. it also has the ability to be made on any part of the globe locally, organically, and easily.
tite bond original is a very good replacement for hide glue. it doesn't give up the seam very easily, but it is almost as hard as hide glue to let the vibrations transfer from each part of the instrument.