Do you mean the assertion that NYT made these changes in response to being reached by Facebook's PR team? (This is difficult to prove but suggested by the facts we have.)
Do you mean the assertion that the NYT regularly changes headlines in response to criticism of those being covered? (This is alleged, but I have no proof of this.)
Do you mean the assertion that Facebook contacted the Times after the article was published? (I highly doubt that this is false, and it being true suggests that the first point was true.)