None of this checks out. You can make any number of unfalsifiable arguments about them not checking out deliberately as part of psy-ops or whatever, but at that point you've taken the whole story back to square one: we just don't know what happened, and Hersh's story has essentially nothing to tell us about it, other than that one random, implausibly-well-informed anonymous person told Hersh, one of journalism's least trustworthy figures, that that's what happened.
Look, I'm just a dude on a message board reading a set of competing claims about a subject I know literally nothing at all about. But I trust these claims more than I trust Hersh's claims, by a factor of infinity.