Does Odysseus prove himself to be a hero?

Odysseus is generally considered the ideal hero. He overcame all of the dangers set before him, during the ten years he wandered. He even placated the gods with his actions, something one would have thought impossible considering Poseidon's great anger and desire for revenge. Physically, he conquers all challenges.

Odysseus is also seen to be a hero in the spiritual sense. He remains loyal to his wife (not physically), his men, and his name. He visits the Underworld and returns.... Hercules comments on how they're similar..... Hercules being one of the greatest heroes in Ancient Greece.