As I mentioned above, I use AP 90% for my highway driving. That number would be slightly higher even if I knew for certain about animals. I often go to the cottage at night, but won't use AP if it's really dark (no street lights) as I know there is a bunch of wildlife in the area.I think - I hope - that automatic emergency braking would kick in. Similar radar is capable of detecting pedestrians pedestrians at 100m, who presumably have about the same radar cross section as a deer.
I haven't read of a test case yet, and I have no particular desire to experiment, but if it doesn't react this way now it probably will at some point in the future.
Late in 2015, I hit a deer in my ICE vehicle (lucky to be alive), so I do have some concerns about AP.