I helped out a little when the TWRA was doing night-time thermal imaging deer censuses years ago. We drove around at night, sitting in a high perch mounted in a truck bed, and counted deer in open areas (usually ag fields) with thermal imagers. Later, we went back and looked at the data collected on full moon nights versus new moon nights. No difference existed between the two (same number of deer out feeding). I think the lack of difference is because their night vision is so good they only need starlight to navigate at night. We humans place a lot of emphasis on full moons because it helps US see at night. Deer don't need moonlight to see at night.