I think every animal is affected by the moon phase, and any other aspect, weather: temperature (hot or cold), if there is snow on the ground, wind, rain, hunting pressure, predation, you name it. They all affect how critters react and survive. Concerning the moon. I know that just at the getting dark moment, in the evenings, it is more difficult for anything to see well. Eyes haven't fully adjusted. That's why migratory bird hunting has start and end times that change daily. If it is a full moon, especially with snow on the ground, deer feel much more at ease moving around. If the moon is dark, deer feel more vulnerable to attack. They will feed and move more during the day light. Hunting that late when the rut is on opens up a great big door to opportunity. I would make my decision based on hunter pressure in the area you are going to. Bucks will be more active so I would want first choice if there is a lot of competition. My 2 cents.