I did that and they found nothing.
That being said, my listings ALWAYS show up with Chicago Listings as my "competitor" since we are in the first suburb north of Chicago.
The headers also show that this was first sent FROM a company that apparently compiles this info for Chicago for compliance, then sends it THROUGH Homeaway to the end user.
While it might seem scammy and they have no internet presence or website, HASPF.com is registered to MarkMonitor.com which is a major trademark registration company.
After contacting support via Chat and explaining the situation, they escalated it to "a Specialist" who would get back to me via email.
I just got that email from Support.
All they did was copy/paste the info page about how the City of Chicago requires a License and what I should do to comply
My chat session was included at the bottom.