From 25+ years of personal experience, outside of the rut, morning hunts SUCK following a clear night with a full moon -- the evenings tend to be a little better.

HOWEVER, during the pre-rut and rut, all bets are off. I shot a nice buck 2 years ago on Nov. 1st in the morning while he was following a doe and grunting with every step. ALL day is a good bet during the rut--moon phase then makes no difference.