I think this is wrong (not to say you are wrong but this idea which is very common).
The idea that we develop AGI and it is this program that is what we run on a regular device, and then we can make it 10x smarter effectively by running it on 10 devices or 10x as fast. I think more likely will be AGI will be achieved first on the biggest teraflop supercomputers that we have, and it will for a long time be the app that takes a lot to run. And probably the first AGI will not be quite as smart as a human, but basically we will have no other reference point for what it is as smart as so we will call it that.
Also, I think there will be some sort of non-linearity effects that mean that you can't just "scale up" intelligence by adding more processors. It will work to a point, but then the curve flattens. Consider that the global total IQ is already approx 800 billion, but our planet is still pretty dumb. I mean this to also apply to scaling a "single" AGI up in speed. Linear speed gains will have diminishing returns I think.
Also, I speak about the productization and allocation of it. It will not be this "come one come all" "gather round" everyone can partake sort of thing. It will be a product, like night vision or GPS, and the secret government military uses will get the best quality, and the rest of us will get smarter shopping.
Further, if it really is linearly scalable, then it certainly will be controlled. It will be more controlled than enriched uranium in that case, and even if not so scalable is still going to be very controlled if it is at all transformative.
I think the various technological, political and commercial realities will distinctly flatten/soften/smooth the predicted "singularity" discontinuity blast wave into a humdrum speed bump that appears to most of humanity as a better iPhone (basically).
This is pure speculation. We shall see.