> some found the emails annoying from PubPeer [since PubPeer notifies authors of comments] if Statcheck found no potential errors
I would.
> There’s a big, uncomfortable question of how to criticize past work, and whether online critiques of past work constitute “bullying” or shaming.
It's facts about your work. Learn to handle it or quit pretending to be a scientist.
> The gist of her article was that she feared too much of the criticism of past work had been ceded to social media, and that the criticism there is taking on an uncivil tone
Valid enough point. Criticism and correction can be done in a civil manner, and in an accepted forum.
I would.
> There’s a big, uncomfortable question of how to criticize past work, and whether online critiques of past work constitute “bullying” or shaming.
It's facts about your work. Learn to handle it or quit pretending to be a scientist.
> The gist of her article was that she feared too much of the criticism of past work had been ceded to social media, and that the criticism there is taking on an uncivil tone
Valid enough point. Criticism and correction can be done in a civil manner, and in an accepted forum.