Today it is around 97 degrees and the bats are having a hard time finding a cooler spot. I went out and took a look and they were down at the bottom entrance after lunch. I took a photo of them to post. it is not very clear but you can see a bat or so.
One house is light blue, the other unpainted cedar. If they were darker, I think the bats would leave for a cooler roost. A color chart I viewed called for medium
colors the same as for states all the way up to the border with Canada. The chart is based on high July temperatures. Low temps are ignored. Last night at midnight
here in the Atlanta area it was 85 degrees, while in northern Montana it was 69 degrees. Just my opinion but bat houses in the south should be a lighter color if painted .
Temps of 69 degrees at night could use a boost from a darker color, I don't agree that they need a boost from 85.
With their body heat and some sun exposure, the house is probably in the 90s here by 10 AM on many days in July & Aug.
There are exceptions depending on species. The freetails seem to tolerate higher temps than the little browns, but also lower temps as some were here last winter for a short visit. None of us have all the answers, but can have opinions. The bats make the final choices.

