If it is not too late, PuppyLover, but on the point of "Why-o-why is this demonstrably false? " is there any way that you can reach out to a previous guest that you have demonstrated your rubber gun too and who would be willing to testify to that? Or a friend? The church pastor?
Here is a case from 2017, different card, same procedure: Thrown off for absurd violation?
The logical consequence has to be, not to put all eggs into one basket. Diversify, list your rooms on booking, homeshare, local sites, contact the hospitals for traveling staff …
Wasn’t there a list of all possible sites on Excel at one point?