Would they dismiss it as nonsense?
Was 'divine right' a concept in Ancient Greece - did it bolster his legitimacy?
At that time, 350-ish BC, Greek mythology, what we call it now, was still the belief of the region. In Antiquity, claiming to be descended from a god was par for the course. All leaders of the ancient western world justified or came to justify their position as the leaders of society by gods; Babylonians, Greeks, Romans, Egyptians, etc. They all did it to win popular support and maybe have believed it themselves - hard to say. For an example, when Alexander conquered Egypt, he claimed he was divine - in a manner that was in accordance with their beliefs. He knew, like many leaders have, that religion is a very powerful force. Whether he truly believed it or not is something that we will probably never know.
Hi, you may be interested in some other replies to related questions