Hey, it’s just like all of those bigass wavy swords that 19th century aristocrats bought to decorate their manors with. All supposedly heirlooms, but more often made by some shady blacksmith and distressed to look antique. And although they are fantasy weapons and impractical for actual use, whole groups of historians kept trying to explain how there really were weapons like that in the Thirty Years War, or whenever.
I would not be surprised of the Bat’leth’s origins were not in actual warfare, but a centuries old Klingon comic series. That the equivalent would be Montgomery Scott carrying around the claymore Mel Gibson used in Brave Heart and wearing blue face paint. Only that most Klingons, when confronted, double down in QAnon fashion.