Free STD check uses Bernie Sanders campaign logo in billboard

Timing is everything, and this FreeSTDcheck.com billboard has the look of a Bernie Sanders campaign logo, while it reads "Feel the Burn?"

Oh I see what you did there, guys. Very funny, and timely and sure to be hashtagged to death as it spreads all over twitter like a bad rash. Speaking of bad rashes, you might want to get that checked. And now you know where to go!
Keyboard IP lawyers; does the parody defense work when you hijack someoness logo style like this?

If you're in Los angeles, you'll find this billboard on the corner of Sunset and Van Ness, but there are others onVine St. and Santa Monica Blvd. as well as Century Blvd and La Cienega.