I'm guessing that the bucket is raising the humidity for your trees, thus lowering their watering needs. It will not help long term, as they get taller, but I may be a big help at this early stage.
I have tons of rabbits in the front yard (none in the back due to the beagle), but for some reason they have not bothered any of my fruit plants; not young figs, not blueberries, not my crandalls, nothing.