Despite some you-tuber’s gushing over it, this is not “the James Watt micrometer,” or “the first micrometer.” Either of those claims requires evidence, with both doubly so. It’s not even that “the provenance is questionable,” it’s that there is no provenance at all.
People treating it like some holy grail first artifact touched by the hands of genius are misrepresenting reality, which is that it’s an admittedly poorly built thing with no documented history beyond “the janitor found it on a shelf he was dusting and thought it looked funny.” (I made that last bit up, but it’s probably true anyway.)
Want to build a replica of a real historical artifact that wasn’t just an odd thing found on a dusty shelf? The Antikythera mechanism awaits. 😉