Well back when computers were being developed/ improved there was a pretty strong commitment throughout the Western nations to advancing and expanding education for everyone.
In that paradigm, people would become more educated and better at critical thinking at a steady pace, probably on par with the rate at which computer programs advanced in their capacity to mimic human behavior.
So, “can it fool more people into believing it’s a human” would’ve been a great test of whether the program was super advanced.
Instead we’ve had 50 years of attacks on public education by Republicans that has been tolerated - or at least not fought hard enough - by Democrats. So not particularly advanced programs can fool a great many people. That does make the Turing Test moot, I think.
Of course the real President should have offices in the White House!