Glue for wood-to-wood - Hardening or Non-hardening

My local plywood supplier suggested that a non-hardening glue would be better as hardening glue can cause plywood delamination over time due to expansion/contraction /vibration of the sheet. If the outer layer of the plywood is hard glued, then the inner/opposite layers will want to shear away under stress.
Maybe someone with more expertise can comment. I was leaning towards titebond III or similar for my all-wood build (not a foamy),
Thanks,
Doug
Maybe someone with more expertise can comment. I was leaning towards titebond III or similar for my all-wood build (not a foamy),
Thanks,
Doug