I don't think it will become well rounded because that is not cost sensitive. Intelligence is sensitive to cost, it is the core constraint shaping it. Any action has a cost - energy, materials, time, opportunity or social. Intelligence is solving the cost equation, if we can't solve it we die. Cost is also why we specialize, in a group we can offload some intelligence to others. LLMs also have their own costs, and are shaped by it into some kind of jagged intelligence, they are no spherical cows either.