Bruh, the Kuja literally are known for their haki usage.
It's incredibly ironic that you say I'm using headcanon to say Kid couldn't use ACoC but in the very same post you said "for all we know Kid can do that"
Dude Luffy didn't fucking know how to do it until Wano, and we have seen him using haki in like 90% of his attacks. What makes you think that Kid, who has legitimately not shown haki usage on-panel, has access to CoA emission?