I think you are missing the point of both the blog post and Fiske's own article. What she labels as "personal attacks" was, in fact, legitimate scientific criticism, and she tries to dismiss it based on it not being published according to the right norms (according to her). She's trying to bring accusations of trolling and abuse, and you are taking her word for it as if that is the right description of what has been happening so far. She doesn't "explicitly welcome" serious criticism, because criticism published in scientific journals is rather seriously flawed and ineffective (too slow, too strong an incentive to be biased in favour of already published papers: see, for example, the discussions and failed replications that arose from Bem's ESP paper, that was really terrible). This is consistent with her comment about "methodological terrorism", which is as wrong-headed as can be, and I think clear evidence that it's not about "online abuse" in the usual sense.

If you read Gelman's posts (going back quite a while), for example, you'll see that the criticism that Fiske dismisses as trolling and abuse is nothing of the sort, and being published on a blog does not make it less valid.

In the end, it is part of the culture of science and part of being a good scientist that one should be willing to accept criticism, and maybe refutations, of one's own work, so trying to get above it by claiming "personal attacks" is seriously bad form.

P.S. There was another example of this kind of an "attack" when somebody wrote a bot for finding statistics errors: https://news.ycombinator.com/item?id=12643978