If (you feel that) your job is incompatible with a personal association to a popular 'rationalist' blog, and you write a rationalist blog under your own partial name, and it then becomes popular - well you will have to take that decision at some point - resign, or shut down the blog.
Scott has put off that decision as long as he could, and the NYT journalist's behaviour certainly forced him in one direction; but fundimentally this controversy is of his own creation.
Evidently he has taken the logical decision that the blog matters more to him (or there are more opportunities as the writer of a popular blog) than his old job and he's actioned this; I don't think it's fair to characterise this as the New York Times 'costing him his job'.
Scott did shut down the blog and it still cost him his job.
[1] https://www.reddit.com/r/slatestarcodex/comments/i10p4m/surv...