CoA being a requirement to cut metal has literally never been a thing, and we don't know if BOAT is haki, we know even less about it than VOAT, which itself isn't confirmed to be related to haki either.
So no to both.
So no to both.
COA not a requirement to cut metals yes but for Zoro he used ryou that moment so COA, that's why he cut easily Kaido and Big mom/killer/kaido were talking about it.
And Zoro literally said "I avoided the rocks ? How ? I felt it", that's COO.
Be honest for once.