We have three wild persimmon trees in our pasture. These were probably "planted" by wildlife eating fruit from a persimmon tree by a nearby home. Just like any other fruit tree, the yield varies year to year. Fruit on these trees have disappeared almost overnight when they ripen. I am sure the squirrel and raccoon have something to do with that. This year, however, they will be mighty full if they strip this tree and the other two near by.
I've tried to make persimmon jelly in the past. It wasn't as tasty as I had hoped. So, the critters can have at it!