Ah I see now - it's a work around with your local government, so you can continue to run your STR management business.
Why can't you run a report on the airbnb.org bookings you have had since you have opened across your listings to demonstrate you have been taking these bookings @Miss9
There doesn't need to be a contract between yourselves and Airbnb (you sign up through its T&Cs) to support its airbnb.org scheme.
The intention is not to give STR owners a work around so they can continue to host by their local government, when normally they would not be allowed to, but to provide accommodation for those who have lost everything.