The Warriors are the ones who will have to win a game in Sacramento in order to advance.
This is true, but if this series goes to game 7, even though the Warriors have played worse this season, I believe they will have an advantage in game 7 due to their past experience. It will be experience versus an inexperienced team in game 7, so I think the Kings will likely panic a bit.
That is a BIG IF, coz not only that they're playing terrible, but the Kings are also no joke from the regular season down to the post season. I even thought the Warriors could even the series 1-1 in game 2, but didn't happened. Here's another IF, If the Warriors loses 1 more game at their home court and they are officially done and the Kings could end the season at home in game 5. Worse case scenario, which will probably going to blow everyone's mind IF the Kings sweep the Warriors in round 1 lol.
Anything can happen as like how you describe the Kings. They are no joke, and they are really showing greatness in each game that they played.
If warriors will tie the series at home, then they still have it, I mean they can still turn this into their favor as experienced really play in this kind of situation, but if Kings will win a game at the road, the chance for Warriors to take the early vacation might happen.