Wooden Plywood is redundant since all plywood is already made from wood. Commercial plywood usually refers back to the grade of plywood, most often referring to MR Grade plywood (IS 303) which is principally the cheapest grade plywood accessible available in the market. So you could possibly find folks asking for business Ply or industrial grade ply within the Indian Market which usually means they need cheap MR(Moisture Resistant / IS 303) Grade plywood.
Commercial plywoods are generally made from a combination of softwood & hardwood timber or simply softwood timber species. Hardwood Plywood typically refers back to the make of the plywood, which is the timber used in construction the layers of plywood. Hardwood generally is ascribed to hardwood timber species akin to Eucalyptus, Gurjan, Birch which is larger in density and are rather more lengthy lasting than other timber species equivalent to rubberwood or poplar. Plywood made from hardwood timber are typically heavier in weight, greater in density and have for much longer life than softwood plywood. I might counsel opting for hardwood plywood with a Eucalyptus timber make to make sure the plywood is robust, lasting and most importantly sourced from ecologically sustainable cultivations.