I think you are mixing up consciousness and will.
I could not have consciousness and you would not be able to tell, you don't have proof of anyone's counciousness except your own. You don't even have proof that the you of yesterday is the same as you, since you-today could be another consciousness that just happens to share the same memories.
All of that is also orthogonal to your belief in a spirit/soul... but getting back to the main point, the specificity you mention is a product of a limited time and learning speed, I'd be happy to get a surgeon or politicians training if given infinite time.
You bring up an interesting point, but I would pose the following: where does will come from?
To me, consciousness is the seat, or root, of where will comes from. Let's say you get expert level surgeon or politician training, what then?
There is nothing that specifically silos a surgeon or politician's knowledge-set. Meaning a politician's skillset isn't purely in a domain that doesn't cross into a surgeon's and vice-versa. There are nuances to being a politician and a surgeon that extend beyond diplomacy or "being able to cut real good".
What you're left with is just high-skilled workflows. But what utilizes these workflows? To me, the answer is that consciousness needs to be powering these workflows.