Does this mean it's too late to suggest "The Rationality Institute for Human Intelligence" for the recent spin-off, considering the original may no longer run parallel to that?

Seriously though, and more to the topic, I like "The Center for AI Safety", not only because it sounds good and is unusually clear as to the intention of the organization, but also because it would apparently, well, run parallel with "The Center for Modern Rationality" (!), which is (I think) the name that was ultimately (tentatively?) picked for the spin-off.