Some authority that is when Queen mocks King for failing to deal with Big Mom, how does that work out really. King being a bad leader is worse portrayal anyway. Jack calls them big bros, vivre card supports that structure, Queen & King having this toxic relationship, and most importantly no obvious clarification on such an important structural component of the main enemy crew.
I don’t think I was around when the vivre cards came out, I’ll check some different sources, and if it’s really the case then King is an ass of a leader lol, would’ve preferred it if he was autonomous but still holds the most responsibility and respect simply for being King not due to some official ranking, same case with Zoro in the SHs for example.