You can weigh the anonymity into your own subjective assessment of the believability of this anecdote of course.
But there's valid reasons, from personal safety to managing career prospects, for anybody to keep information about their personal identity detached from online accounts where they might reveal potentially damaging personal information.
We don't need OP's personal identity to know that Facebook and other mega-corporations are utterly despicable sad sacks of shit when it comes to customer service and decent behavior.
I mean, it seemed to work to some extent. You are on the HN frontpage.
But usually, to make a point publicly and get help, one has to have an identity and let people see the reality of things.