I was once at a bus station in central Anatolia where there was a whole gang of cats hanging around in the flowerbeds. The call to prayer went off from the local mosque, and they all immediately squatted down among the flowers and started to crap at the same time as the humans were going into the courtyard to wash. So they seemed to have adjusted to the prayer schedule.

Possibly they'd figured out that this was one time when scrounging food wasn't going to produce as much from the humans as other times of day, so they might as well use it as a toilet break.