Do these places have private outdoor hot spring water tubs exposed to the sky above, like a photo shows?

As Joel stated one is open air and 3 have mesh covering to block the sun. #4 is open air and great for stargazing.

One has no cover 3 have a mesh cover for flying bugs

William for that information I would recommend you Call to varify before making the trip.

You feel like living in the nature; no cell phone working. You have to bring food to cook and drinking water too. Stars are so bright up in the sky at night, but be careful on the bugs in the bed set. Anyhow, amazing place ...

One is open to the sky

Joel is correct

Not exposed to the sky, they are in a private room.