Perhaps I used the term wrong. With my retail experience, an example of bait and switch would be a salesman shows up with a really nice quality garment at a decent price. We'd purchase it, then when 6 dozen of those garments are delivered a few weeks later, you could easily tell that what he showed you and what you got were not the same thing (stitching, quality, fabric, size), often meaning you had to discount the product to get rid of it or try to return it.
In this case, I would say fabric and wood are somewhat the same thing. If the fabric doesn't match what you were shown, within reason, I would say you have a claim.