I am fortunate to be healthy, but if I weren't, would I tell anyone? Probably not. I like the US and want to stay here.
I can't see how it isn't rational. I have ample evidence seeking help is bad. I have none whatsoever that it's good. The rational choice is objectively obvious.
There's even a doctor in this very thread defending that punishment as "first-rate care"[1]. What other proof should I have before deciding mental health care has nothing to do with caring, and everything to do with punishing and isolating people who are inconvenient?
My personal counter anecdote: 2 weeks ago, I lost my camera (with a nice new lens on it) in the subway. Worth more than $700. Everyone I told said almost the same thing: "you'll never see it again, someone would have to be stupid to give it back; I would, but I'm stupid."
Well, 2 days later I picked it up at the lost&found.