I didn't read the article (following the Free Republic credo), but - unless the article provided clarification - I agree that this is 'not a nothingburger'. Someone revealing the name, address, and other family names, on the internet is very dangerous. It is inviting people with loose screws (of which there are many on the left) to attack the person whose identify was revealed. That is wrong, and the person(s) who did this should be punished.
She comes from a very large, very extended family where many of the females under 40 share the name of a deceased matriarch. It’s not this woman alone who is endangered.
Taibbi is saying that the underlying justification for the article is a nothingburger. He is saying that sometimes the identity of someone who prefers to remain anonymous is relevant to a story, and journalists should investigate if it is. But in this case, the woman’s identity doesn’t add anything to the story that people didn’t already know — that the person behind the TikTok is conservative, and therefore the journalist had no excuse to reveal her identity, so the purpose of the article was pure doxxing.