And cuts more than required, yes.
You don't need to see the visuals when the narrative is pretty clear.
4 Scabbards with CoA -> can't even reopen the scar.
1 move with CoC -> New scar.
After which Kaidou praises Zoro's CoC, not CoA.
In fact, Kaidou won't be stunned like he was if it was just basic CoC, that attack was 100% laced with CoC imo.
vs Kaidou: it was accidental.
vs King: it was Zoro doing so.