Ailphatic (fat based) and Polyvinyl Acetate (Lord knows what based) are different animals. Aliphatic is "white glue" and PVA is "yellow glue". Original Titebone is aliphatic and Titebone II is PVA. Titebond III is truly waterproof but is less flexible. Some "give" can prevent joint or wood breakage.

They all work, but the PVA is a little better at moisture resistance once dry and, I think, is more flexible. Good features in an airframe, especially one that may see damp snow or fly off water in its career. Still can wipe up the excess with a wet rag or finger when working.

Lessee . . .

Balsa USA CA Gold thin & thick and activator.
Great Planes Thin CA
Titebond II
Aileen's Tacky Glue
Elmer's Carpenter's glue
Hide glue (these last two for wood projects other than R/C)
77 Contact Cement spray
56 Canopy cement
West System Epoxy & 206 hardener
Great Planes 45 minute epoxy
Loctite
Loctite removable

. . . and more, but they're probably all herdened up lumps.