Some do
The common name, "Monkey Cups" quickly comes to mind and I'm sure there are more. Besides, common names are basically junk outside of music and poetry. Even the binomial names for many plants, CP included, are not even as accurate as the names we humans use for ourselves and each other. I certainly wouldn't want to go around calling all motorized vehicles, "horseless carriages". Though, if appropriate, I would use the binomial and mention common names that may be synonymous, if it would be helpful.