I'm not sure. I don't know exactly what horse apples are, but up here in MA this, if you can found any kind of apple tree, you'll find the deer because there were no acorns this season.
I would venture to guess that the deer would eat any type of apple. Is there any sign around those trees?
If you mean what we call "crab apples" (small, cherry-tomato sized apples, sometimes yellow-red that are usually quite sour and tart). Yes they do eat them. Some strains of crabs keep their apples through the winter and can be a dynamite late-season (post-rut) food source.
I asked about hedge apples (the green brain looking fruits from the Osage orange trees) in the midwest catigory. I am working in Tnn and asked if any thing ate them. Got one reply that said no because they are toxic.
I notice now that all the nuts and berries are gone the bushytails are starting to eat them. They were obviously there last choice in food. If the tree rats eat them seems that the deer would also
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