It's the same thing. As a general rule, they do hold late before dropping, and most will drop in November around here. They generally rot quickly after hitting the ground and are very bitter and mealy. However, they are like any other fruit - there will be variations in individual trees.
On anything that you think may be of interest to the deer - I would put up a cam to see. Wildlife in general may or may not use the fruit depending on it's different traits. If the fruit is simply rotting....it's not doing your habitat much good. At that point consider top working/grafting the tree to a more useful variety. My biggest concern is the spread of a non-desirable tree/shrub.