1 - No it's not. A few Sanji fans ( Me included) believed in Sanji vs King before Onigashma started. And most people started to buy into the idea of Sanji vs King when they both clashed. This happened before Zoro went to the roof. Nobody gives a fuck about Zoro.
2 - Whatever
3 - So King wanting to actively hurt everyone Sanji wants to protect is not good enough ? Sanji aiming to save Momo and the Scabbards multiple times this arc, whilst on the other hand.... King is aiming to kill and telling people to kill them. Showing both their goals are literally contrasting each others. That is a far bigger link then knowing someone Sanji doesn't care about.
If you agree it makes sense story wise, then don't fucking say they have no link.
2 - Whatever
3 - So King wanting to actively hurt everyone Sanji wants to protect is not good enough ? Sanji aiming to save Momo and the Scabbards multiple times this arc, whilst on the other hand.... King is aiming to kill and telling people to kill them. Showing both their goals are literally contrasting each others. That is a far bigger link then knowing someone Sanji doesn't care about.
If you agree it makes sense story wise, then don't fucking say they have no link.