Humans are often referred to as "carbon-based" life forms. given that humans breathe oxygen, shouldn't humans be referred to as "oxygen-based" life forms?

All life on Earth is considered carbon-based because the building blocks of all the living organisms, including human beings, are the biomolecules based on carbon: proteins, lipids, and carbohydrates.

Oxygen is an element necessary element for various cell processes, so humans may be referred to as oxygen-dependent life forms.