Edit: don't mean to imply a contradiction with the social interaction hypothesis -- needless to say there can be multiple factors that drive evolution in the same direction...
Maybe there are two types of intelligence -- versus humans and versus nature.
But yes, there are of course many different kinds of intelligence.
It's probably wrong to directly compare these two types of specialization. However, we do have an interesting social experiment going on: China's bureaucracy leans towards engineering backgrounds while the USA bureaucracy leans towards legal backgrounds. You can see this in the strategies pursued by each side: China pulls large and small levers to acquire hard power (in the sense of manufacturing capacity, not just guns) while the USA has historically been better at pulling large and small levers to acquire soft power (and even though tension from the Triffin Dilemma is peaking again, that's still probably a fair assessment). The next decade will probably see a showdown that supports or repudiates the "engineer primacy" vs "lawyer primacy" narratives on the level of international strategy, even though both will obviously still exist and have primacy within their respective niches. Interesting times.
And I'm just following the original logic, so I don't see what's wrong here. If you are not happy about the conclusion, I politely point to the original post/reply.
I don't think anything I said about social vs asocial species applies to two members of a a single social species. I feel like this is one of those intuitive leaps that serves as a great reminder that intuitive leaps aren't usually good science.