Lobby for what? The OP has made no claim that he knows what Facebook PR talked to the the NYT reporters about. The NYT reporters have denied that PR asked them to change anything about Sandberg. The NYT reporter explicitly says that FB "made no such request" [0]
And FB PR hasn't commented either. The OP does not say he has inside sources that tell him otherwise. So what is that that is being asserted here? Because this is the only thing in the story:
> Perlroth, however, confirmed that the change occurred after Facebook’s public relations team reached out to the New York Times–some time after the story was published.