That's all I was trying to say. The way the two cited sentences are written — and "her post" os on a different sentence from "who shared the iconic image" — does not say the image share was in the same post as the one being talked about.
I hate the power Facebook as a behemoth and a monolith holds and abuses. But when accusing, we should be fair. The statements cited as evidence are from a publication, not an offhand comment by a random person on Facebook with no regard to correctness or clarity. And even in that, there isn't clarity for what was being accused.
So, if pointing out a lack of clarity in an accusation is called nitpicking, so be it.