This oxygen destroyer,why wasn't Monster Zero affected?

Follows the heroic efforts of the crypto-zoological agency Monarch as its members face off against a battery of god-sized monsters, including the mighty Godzilla, who collides with Mothra, Rodan, and his ultimate nemesis, the three-headed King Ghidorah. When these ancient super-species, thought to be mere myths, rise again, they all vie for supremacy, leaving humanity's very existence hanging in the balance.