I guess the "Wear Wood" campaign never caught on. From Popular Science, May 1930
Wooden Bathing Suits. These two girls are wearing bathing suits of wood. They are the latest novelty for use on the bathing beaches. Fashioned of thin spruce, they are said to be practical as costumes and also are sufficiently buoyant to encourage a timid swimmer to take a plunge. So far, none of them has warped or cracked.
eFootage.com has video footage from 1932
of "lovely ladies" modeling and swimming in the wooden suits.