Officials are humans. They have subconscious biases, for sure -- I think there is probably something to home field advantage in a very minor sense.
But if you've spent any time talking to highest level officials, you'd really realize how silly it all is. They just don't give a shit. I know that's hard for people to believe, but it's really the only way you make it to this level. The league recognizes that the one thing that could sink it -- more than concussions, more than domestic violence, more than the national anthem -- is perception that things are not fair. To say that NFL security is paranoid about it is an understatement. Can't say much more but I know of a guy who goes through it -- the intrusion on his privacy is staggering. They can (and do) show up at midnight and look at his computer. They go deeply into your private life, under the guise of wanting to know your potential "blackmail" weaknesses, and on and on. Your life is an open book to NFL security.
But, beyond that, they just don't give a shit about who wins. Every official knows that they have kicked a call or two and as a community they have developed pretty sophisticated thoughts about how to process that, how to keep it from happening, how to move on to the next play, and how to compartmentalize it. But in the end, if you could put the officials from Sunday's game on a lie detector and get an absolute honest evaluation of Sunday's game and what they called, I feel pretty comfortable that the reaction to the idea that they were letting anything not on the field affect the call would be one of bemusement and their explanation for the calls would be, "yeah, Jacksonville committed six penalties and New England committed one, so that's what we called."