I don’t believe the control problem is solved, but I’m not sure it would matter if it is.
I don't even understand what the proposed mechanism for "rouge AI enslaves humanity" is. It's scifi (and not hard scifi) as far as I can see.
To put it simply, it could outcompete humanity on every metric that matters, especially given recent advancements in robotics.
Again, I wonder why no group of smart people with brilliant ideas has unilaterally imposed those ideas on the rest of humanity through sheer force of genius.
I don't know if this will happen with any certainty, but the general idea of commoditising intelligence very much has the ability to tip the world order: every problem that can be tackled by throwing brainpower at it will be, and those advances will compound.
Also, the question you're posing did happen: it was called the Manhattan Project.