There is nothing about gpt3 tuned towards the Turing test. It's a language model that predicts the most likely next word given the preceding context.

Further, we're actually astonishingly close, imo. Given current sota, if you asked turkers to administer the test without training, I think we'd pass.

(Also, the prompt helps, see this example https://twitter.com/nicklovescode/status/1284050958977130497 )