Turns out reading reviews can be a big help. When I made the request for booking, I specified I was travelling with my sister and would be using both bedrooms. Reservation accepted. A few days before check-in, I asked host to make sure both rooms were made up. The evening before checkin, when a traveller is most vulnerable to changes, host told me, as he did to the previous traveller, that when 2 persons book, they must share a room or pay an extra charge for the second bedroom . Ridiculous. I told host we had a contract and he backed off. Next day he wanted me to share Euro40 for cleaning the 2nd bedroom. Equally ridiculous. Host claimed the tourist tax (Imposta di Soggiorno) was Euro 5 per person, per night. According to the Tourist Bureau of Brindisi (on via Duomo) Euro 1.50 PP/PN is the legal rate for low season. That is the rate I paid. Note that there are infrared sensors in both bedrooms, the LR and kitchen. I don't know if those sensors are video/audio enabled. It can be a bit of challenge to find the property, for reasons unknown, the listing shows the street address as 19 which doesn't exist - the correct number is 9.
No doubt host will have a different story to tell but I have the texts, pictures and a rock solid reputation as an Airbnb guest and I will be forwarding these complaint to them.
Other than issues with the host, the apartment is spacious, comfortable, clean, quiet and well located.