The burger genre has been pretty flexible, lending its name out to portobello mushrooms, chicken, tofu, and seitan, but it needs to draw the line at non-dairy white fluff. Diana of An Appetite for China spotted this "Taiwan burger" made of a Cool Whip "patty" and lettuce at a Buddhist vegetarian restaurant in Beijing. Cool Whip sandwich might arguably be a better name for it, or even better, this argument should really not exist at all.
Related: ReddiWip or Cool Whip: Way or No Way? [Talk]