Yes, indeed.
Good points. But the “Singularity” will cause such rapid increases in knowledge; the more advanced a “unified AI” becomes the more information and knowledge it generates. Hence a possible exponential explosion that could (as Ray Kurzweil actually alludes to IIRC) consume the computing capability of the entire universe. I foresee that at no point would the “unified AI” actually understand or compute such knowledge because as it is now the information gathered and stored itself far dwarfs any meaningful knowledge gained from it, even for a hyper-advanced “unified AI”.