Alpha Zeus isn't a character I recall from the Percy Jackson series—maybe there's some confusion with Zeus' role? In Rick Riordan's 'Percy Jackson and the Olympians,' Zeus is the king of the gods, often portrayed as arrogant and quick to anger. He plays a pivotal role in 'The Lightning Thief,' accusing Percy of stealing his master bolt, which kicks off the whole quest. Later, in 'The Last Olympian,' Zeus leads the gods in the battle against Kronos. His portrayal is pretty consistent with Greek mythology: powerful, flawed, and not exactly father of the year material.
If you meant a different version of Zeus—like from a spin-off or fan theory—I'd love to hear more! The Riordanverse has expanded so much with series like 'The Heroes of Olympus' and 'Trials of Apollo,' but Zeus remains his usual stormy self. Honestly, I prefer how his kids like Thalia get more nuanced arcs.