One problem with this variety of burn-out is that it appears to be for the most part self inflicted. People that are locked in to some job and that are providing that way for their family have a hard situation to fix. If you're contributing to open source and you're burning out on that then you need to recognize that this is a voluntary situation and that simply quitting is the solution. So I think the author got it right by quitting but I think burn-out is a bit too severe a term for this situation.
In that case I'd say it's similar to the fact that people get depressed regardless from their objective situations and how happy they should be relatively to others.
Put another way, I'd say that even a spoiled rich valley girl who tries too hard to be the light of the party at too many social events can suffer from a valid burnout.
I don't have as much sympathy for her as I would for the guy that burns himself out trying to earn enough money to fund his daughter's cancer treatment, but that's another matter entirely ;)
That's a bit like giving tips on how to cook a healthy meal to an anorexic who tells you she's really having trouble eating enough.
Yes, we're technically correct. No, it's not really helping anyone.