So, to perform the experiment, one must have some people play the game with humans a few times and then play with a human and a machine a few times, and look to see if the results are statistically significant. When they aren't, Turing posits, the question 'can machines think?' will have been answered in the affirmative.
That is not to say that this DALL-E vacation photo social media post constitutes a rigorous 'passes the Turing test'. But I don't think it's fair to criticize someone for using 'the Turing Test' colloquially as a catchall for saying 'you probably didn't notice this output was machine generated, therefore you might want to adjust your priors on the answer to the question, "can machines think?"'. Because that's exactly the spirit that Turing was working in when he proposed using a party game as a test of intelligence.