Only if it can do it in an affordable fashion.
If you need a supercomputer to run your AGI then it's probably not worth it for any task that a human can do, because humans happen to be much cheaper than supercomputers.
Also, it's not clear if AGI doesn't mean it's necessarily better than existing AIs: a 3 years old child has general intelligence indeed, but it's far less helpful than even a sub-billion parameters LLM for any task.
A child learns from experience, something still missing in LLMs.