I've kept notes the past seven years or so from whitetail hunting (mostly rifle) in northern MI and Ontario. I especially paid attention the last two years to the predictions from Alsheimer et. al., as related to rutting activity & moon phase & timing. I found his predictions to be pretty darned good for where I hunt. The hunter's moon is early this year, so he predicts early chasing & such. It does seem to be kicking off here a bit earlier than normal, and I'll find out in Canada next week.
I'm lucky to be able to hunt about when I want. There are some big "ifs" to the rut/moon phase coincidence, though, as Alsheimer states. The big one here in MI is hunting pressure. The big one in Ontario is weather; if it is warmer than about 45F, buck sightings & movement decrease drastically. They are there, but just don't move as much. In both cases above I move to even thicker cover for less pressured deer & cooler temps.
I consider any hunt a good hunt, and many nice bucks are taken before the rut even gets underway, and in every imaginable weather. So hunt when & where ya can.