I am defiantly not a bat expert but I wonder if it's possibly a crude fungo bat? You can tell from the markings around the hole that the lathe it was turned on was probably not a machine that was designed for mass production.
Just a stab in the dark. When you hold it in one hand is it balanced so it is easily swung with only one hand? A regular bat is typically thicker toward the end to transfer power to the sweet spot.
Drew
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Drew
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