Dating
There are some confusing aspects to this find. For example, the pottery from the wreck is from around 80BC. So if the mechanism is actually 120 years older then it would be antique when lost; and increasingly useless as the mechanism is only as accurate as the celestial theories of the day and they were limited.
Entirely possible that the principles were Babylonian in concept; The Hellenic empire of the Seluecid kings at that time controlled Babylon and had done since Alexander's conquest and Babylon was known thoughout the period for astronomy (three wise men, etc). There's also a precedent for 'borrowing' since the "archimedes screw" water device was used in Babylonia since before Archimedes' birth.