The case of Zoro having basic CoC but having no idea about Adv CoC is also can be the case. Zoro and Kidd have no idea about Luffy using internal destruction haki against Kaido is a good hint. But if Zoro does indeed coating Adv CoC in Asura to scarred Kaido then he should have make it clear and say something like, "Huh huh? You can use Conqueror's Haki as a weapon too?!" Something like that and Zoro is like, "Huh? I have no idea what ya talking about?"
But Kaido was surprised that Luffy coating CoC into his fist and legs but not Zoro so that's why I don't think Zoro using Adv CoC to cut Kaido. Asura is more of a unique technique (or a retcon of CoC) to hurt Kaido. Anyhow, I don't think Toei messed it up completely but it ruined the surprise.
But Kaido was surprised that Luffy coating CoC into his fist and legs but not Zoro so that's why I don't think Zoro using Adv CoC to cut Kaido. Asura is more of a unique technique (or a retcon of CoC) to hurt Kaido. Anyhow, I don't think Toei messed it up completely but it ruined the surprise.