Please provide their contact info when you have a chance. I met a guy on Friday who arranged his booking + car directly with the hotel in advance (i.e. he didn't avail of the normal VIP channel). I'm guessing that the CP is also possible via direct bookings. But, I want to reiterate a point you mentioned: don't think of these places as hotels in the traditional sense.

Side note: the Wyndham dude was removed from there on day 3 because his arrival test was positive, then spent days 4 and 5 in a cubicle, and days 6 through 14 inside the Italian Consulate, which he liked the most. He is an Italian citizen.