Here in Missouri, at the start of our "rut" season, the moon was full and there was alot of action at night. Not that kind of action. They moved a lot. More than normal. After checking trail cameras on the property I hunt, I have noticed over the years that whitetails do in fact move more during th evening hours on a full moon rather than a dark moon. All deer are different and all deer are the same. In some places in one state they may move more at night than 10 miles down the road. Heck, each herd is different as well. I don't think there is any doubt that deer move more during a full moon than a darker moon. Now, whether or not they are feeding more or not, that's of no concern to me.
...and on that day when my strength is failing, the end draws near and my times has come, still my soul will sing Your praise unending, ten thousand years and then forevermore!