I have never heard the term "false rut". You very well may have seen a hot doe. There are a few instances of the oldest does in the herd coming in during early October.

I also agree that the rut happens at the same time every year regardless of the moon. I cringe every time someone claims we are having a late or early rut on any given year. Whitetail rut at the same time and have been since they were established.