Part of The University of Nairobi is within the Nairobi CBD and it's not the only university within the CBD. We have JKUAT, KU and KEMU campuses within the CBD. Your state house is not within the CBD. You're just trying to force issues.
Anyway, this discusion is pointless. Whatever you want to put your CBD it doesn't matter. What matters is the overall quality of the city and overall business that happens in the City. It is the same way keep boasting that Dar is 1500 sq. km yet out of that 628 sq. km ni mashamba ya mihogo without a single tarmac road.