I've seen deer walk straight through a Greenfield and stop and eat blackberry briars more than once. Seems to me they'll eat about anything.
This.
In my yard, the deer eat my fruit trees to the bare stem, my monkey grass, my Indian Hawthornes, etc. I gave up on trying to plant camellia bushes. They'll also mutilate evergreens such as cedars and Leland cypress trees in the rut. And as far as that little deer resistant stamp they put on the tags at the nursery, that doesn't carry much weight either.