I don't understand your question about "the channel". The strips of styrene form an L section which is glued to the hatch to prevent it warping or twisting. If you glued one of the strips face down to the deck then it wouldn't form an L section any more; it would just be a flat beam and nothing like as strong.
Liteply is a sandwich of three veneers of a relatively soft wood (I used to know its name but I've long since forgotten it) which are glued together with a pva-like adhesive. Contrary to popular myth is it NOT a layer of balsa with birch ply on each side. It was created to replace the cardboard used in childrens' jigsaws as it is much easier to die-cut and doesn't wear out the blades as much. It is also easy to cut with a heavy-duty modelling knife, sands easily, is light in weight but has a pronounced grain which needs a fair bit of sanding and filling. It isn't waterproof or even water resistant without treatment. If you submerged a piece in water it would come apart (de-laminate) very quickly.
Birch ply is three or more veneers of birch (Finnish or Russian are the usual ones) which are glued together with a resin adhesive under great pressure. This makes it much stronger than liteply. It's also heavier, hard to cut with a knife and more difficult to bend. It does have a fine grain which makes it easier to finish, and it is generally WBP, or 'water and boil-proof'. This grade will not de-laminate in water.
Hope this helps.