It's not a Turing test if a judge is not actively trying to discern.
This is certainly debatable, and I agree that it is pushing the limit a bit.
I think in the end, the "Turing test" was devised as a thought experiment, not as a final definition of AI. So I guess some freedom of interpretation is reasonable.
Also, if I'm drunk and reading nonsense I might not realize it.
If it's a game where nobody cares, it's a stupid game, and results are meaningless.
It's a break of the scenario if they didn't go in with the goal of detecting fakery. This makes it useless as a "Turing test".
We get it.
But it's a pretty close analogue.