Apart from your use of infinite I agree, there is no reason we shouldn't be able to surpass nature with synthetic intelligence. The time computers have existed is a mere blip on a historic scale, and computers has surpassed us at logic games like Chess and at math already long ago.

Modern LLM models are just the current stage, before that it could be said it was pattern recognition. We had OCR in the 80's as probably the most practical example. It may seem there is long between the breakthroughs, but 40 years is nothing compared to evolution.

I have no doubt strong AI will be achieved eventually, and when we do, I have no doubt AI will surpass our intelligence in every way very quickly.