I don't think you'd do the same for, for example, RSI. "Hey, we survived a couple of years with a bad keyboard desk combination. Typing on that was a full time job for someone; they got RSI. But it kept us going".
Hence my anger at the parasites who waste the time we already don't have.
I don't think it's okay to allow people to burnout; and if their job is causing burnout something about the job needs to change.
It's odd that you call for people to discuss their mental health problems while simultaneously using deeply stigmatising language.
Lots of people burn out on lots of things. Its not always a complete mental meltdown. Sometimes its just "I can't do this any more; lets find a new way"