I was on this tour in September (last month). The rooms were all freezing cold. I can say for 100% that every room had A/C. I hate A/C, and every room was ice cold and difficult to warm up. Windows in the room were left open all night, but it wasn't warm enough outside to warm up the rooms inside. The rooms were all small, but they are assigned at random, so you could end up with a bigger room than others in your group. We did not stay at a cave hotel, although there were a bunch of cave hotels everywhere around the place we stayed. I really enjoyed all of the hotels, I just wish they weren't so cold. Every hotel also provided breakfast, but after the first couple of hotels, I realized the Turkish breakfast was not for me and I skipped breakfast on 11 of the 13 days.
The tour bus did have several days of moving from one location to the next. A lot of people slept on the bus and it did stop very often. Fortunately the bus wasn't as cold as the hotel rooms!
The tour guide stayed with the group the entire time. Even on the "vacation" days, the tour guide offered optional activities and stayed with those participating in those activities. You could always find the guide around the hotel in the evenings and the mornings and made themselves available 24 hours a day, always providing their room number and cell phone number.