You are wrong.
Ryu is Wano term for CoA haki. Hyou explained that when he was teaching Luffy how to use CoA haki the way Rayleigh showed him.
Ryuo means flowing cherry blossom.
Wano doesn't have a term for CoC haki. Some people call it Oden's special trick.
Again, Oden's father explained how enma works. It only forces the user to release more ryuo or CoA haki then they wishes.
Mastering enma has nothing to do with CoC. It's all about proving to enma you are capable and willing to use overwhelming haki even if it puts your life at risk.
This is one of the most misunderstood scenes in the entire manga.
Some still believe the scene was telling us Oden always use that amount (overwhelming) of haki. That is wrong. The scene explains Oden can use that amount of haki with enma easily. Not he always used that amount of haki. That can be easily determined by the lack of flames we see from Oden when using enma. Flames represent overwhelming haki. For Zoro to master enma he had to prove he could also use that amount of haki. That explains why Zoro doesn't have to use that amount of haki all the time.
With that explain let's go back and look at the scene again.
As we can see from the scene, up until then Zoro wasn't releasing overwhelming CoA haki. It was all about balance to him. He was releasing a lot of haki but not too much. Once he realized he wasn't releasing enough haki, he released all of his haki. He didn't just release and flow that amount of haki into enma, he did that with all his swords since he likes to keep the power between all three swords equal. While he did that he subconsciously released and flowed ACoC haki into all of his swords.
Enma doesn't effect Zoro other swords. If it did we would have seen his other swords affected by him losing control of enma.
Here Zoro is using ACoC haki with just the demon splitter.