of all the walls, and all the boxes i've built....i've tried liquid nails as a wood glue it sucks and its expensive and messy...no upside to it at all...
you can buy like a gallon of elmers wood glue for like 30 bucks, compared to 15 tubes of liquid nails and you'll never run out of wood glue.
Liquid Nails is missing the bonding agents that wood glue uses...once you put wood glue on it and clamp it or screw it together the bond becomes stronger than the wood itself.
Personally I use wood glue to build all my boxes, and Liquid Nails as the sealer, liquid nails never fully dries, you can blow it out of big cracks which is why it sucks as a glue