The Turing Test says that any person could have any conversation with a machine and there's no chance you could tell it's a machine. It does not say that one person could have one conversation with a machine and not be able to tell.

Current text generation models out themselves all the damn time. It can't actually understand the underlying concepts of words. It just predicts what bit of text would be most convincing to a human based on previous text.

Playing Go was never the mark of AI, it was the mark of improving game-playing machines. It doesn't represent "intelligence", only an ability to predict what should happen next based on a set of training data.

It's worth noting that after Lee Se Dol lost to Alphago, researchers found a fairly trivial Go strategy that could reliably beat the machine. It was simply such an easy strategy to counter that none of the games in the training data had included anyone attempting that strategy, so the algorithm didn't account for how to counter it. Because the computer doesn't know Go theory, it only knows how to predict what to do next based on the training data.