Turing was addressing the question of "Can machines think?" and his point was that the question itself is a meaningless one, and that we should stop wasting time by even giving it the light of day.
He proposes his game grounded on functional equivalence, then goes through a slew of objections on the question of 'Can Machines think?'. It's a terrific, very prescient read, and there's no objection you hear today (and in the last few years) concerning LLMs he didn't address.