I would argue that also small children and even most animals count as "general" intelligences. Animals are much less intelligent than grown humans, but that doesn't mean they are less general. Just like, say, AlphaGo 2 is more intelligent but not more general than AlphaGo 1. Or Qwen 32B vs Qwen 7B. Model or brain size alone doesn't determine generality. Generality is more a question of architecture.