We would need to agree on what we mean by General Intelligence before we go forward. If you don’t include artificial consciousness into it, then you’re referring to a generic problem solving agent. In this case, I agree with you. However, as you might see, some researchers consider artificial consciousness as part of general intelligence, in which case it becomes a completely different ball game. In fact, it is widely believed that the transition from this AGI to ASI would be swift, and humans may not even be involved in the process.