Suppose LLM solved all math problems. So what? It’s not like diplomacy and war will end. Are humanity’s problems really constrained on our intellectual ability? If anything most evidence points to cultural failing and all AI will do is enable unprecedented oppression due to said skills at intellectual tasks.
As you read this some poor person is starving. Humanity already possesses the ability to identify said person and send them aid. How is AI going to help here?
The ultimate fallacy is that all technological progress will benefit mankind. That will be true until it is not.