Wooden Plywood is redundant since all plywood is already made from wood.
Commercial plywood generally refers to the grade of plywood, most often referring to MR Grade plywood (IS 303) which is basically the cheapest grade plywood available in the market. So you could find people asking for commercial Ply or commercial grade ply in the Indian Market which generally means they want cheap MR(Moisture Resistant / IS 303) Grade plywood. These plywood are generally made from a combination of softwood & hardwood timber or just softwood timber species.
Hardwood Plywood generally refers 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 such as Eucalyptus, Gurjan, Birch which is higher in density and are much more long lasting than other timber species such as rubberwood or poplar. Plywood made from hardwood timber are generally heavier in weight, higher in density and have much longer life than softwood plywood. I would suggest opting for hardwood plywood with a Eucalyptus timber make to make sure the plywood is strong, lasting and most importantly sourced from ecologically sustainable cultivations.
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