If i get your point based on your answers: "intelligence" cannot be divided into categories. If you are intelligent, you can be trained to do whatever skill you want, its just a matter of being taught or exposed to the probelm. So it does not make sense for it to have its own category. So if you train intelligent people to be social, they will be social, its just software.

What i have seen: people can perform outstandingly well on classical intelligence without almost being taught. Think about mathematics or logic. But when you get into social/emotional territory, then it has a bigger correlation with how you were taught or your experienced when you where a small kid (but its not 100% causal). So in that sense its not the same thing.

Now, if you are unconfortable by calling it "intelligence", feel free to call it "skills". For me its the same thing as a football player having spacial awareness of the field. Sure, they have to be trained, but it is some "skill" that some people have an easier time using and improving.