That poll is not published. But if you doubt the veracity of Psychology Today, it's easy enough to verify that Time/CNN sponsored it and published on the results: https://time.com/archive/6666859/should-we-all-be-vegetarian...

You can find other Time articles that cover their methodology, which involves paying a polling (or consulting) firm to run the poll.

> It links to several studies but not the one they're writing about.

Which one do you think is "the one they're writing about"? The Psychology Today piece opens with a description of the current state of affairs.

You might or might not have noticed that immediately after the mention of the Time poll, Psychology Today links to a survey published by the USDA finding that, among self-described vegetarians, 64% reported eating meat within the last 24 hours. Why do you doubt the Time poll?