A big difference to whom? I don't think the author intended to imply something different by using that particular language.
I doubt the author consciously thought: "i'm going to make this apology less effective," so who cares if the language didn't exactly resonate with you or the OP? I don't think it was malicious or disingenuous; if anything, the NYT needs to hire better copywriters, so their emails don't get dissected as frequently.