Re Moore's Law has slowed a lot. I still like Kurzweil's chart, showing that historically, we can backtrapolate the exponential improvement to previous other information technologies. So this might extend to some future information technology, other than silicon... but that form of reasoning really is science fiction.
Most of these imminant AI predictions are founded on computer complexity soon approaching that of the human brain. Even some fundamental discovery, like RNA playing an information processing role within/between neurons, that pushes brain complexity up by many orders of magnitude, would not push back exponential growth reaching it by all that many years.
The whole thing hinges on Moore's Law, which is (currently) looking rickety.