There's also an argument that the moon isn't actually a moon since it doesn't actually orbit around the Earth. If you look at their respective orbits, the moon and Earth kind of shift places like a spinning helix pattern and the orbit of the moon is more tied to the sun than the Earth.

I haven't watched this all the way through, but it looks to largely cover the same material. I don't know how common this is among moons, but I think it makes Earth's relationship with its moon that much more special.