Ok, if it's a problem he's a practicing psychiatrist, that's an ethical issue HE has created by doing the blog. I don't think the NYT is responsible for running his practice ethically.
Don't make comments that jeopardize your business, then blame other people for "being irrational", when they correctly attribute those comments to you, it's simple accountability.
Again the doxxing is a complete myth, everyone knew his name already, he just didn't want attention draw to the fact he's actually being paid a quarter million dollars to do what he's doing.