If you need a specialized skill set (deep knowledge of current LLM limitations) to distinguish between human and machine then I would say the machine passes the turing test.
The intent (it was just a thought experiment) of a Turing test, was that if you can't tell it's not AGI, then it is AGI, which is semi-reasonable, as long as it's not the village idiot administering the test! It was never intended to be "if it can fool some people, some of the time, then it's AGI".