Listen, there are reasons referees aren"t announced until just hours before tip off, it's because they want the betting lines to be as minimally affected by the knowledge of who is officiating the games as possible.
The stats are out there on referees and referee teams and you can believe the league has even more detailed stats on them. Those stats are a huge factor and by simply assigning certain refs or even entire ref teams to certain games, the league knows they can nudge games into certain, possibly desired, outcomes.
Do you not think the league doesn't know before assigning refs how many fouls they call per game on average, how many fouls they call on a certain team per game, how many fouls they call on certain players per game, what the outcome of games are for that ref against certain teams, how many techs the ref calls and who every player and coach is that the ref called a tech on, how many times the ref gets calls wrong, what they get wrong, how many reviews are due to a certain ref and why, how often the refs call fouls and tech fouls on favorites vs underdogs or home teams vs away teams and so much more.
The league has the stats and I am sure they have engines and algorithms that tell them what combo of refs will push an outcome a certain way, and by how many points, depending on who is playing and where.
So IF the league wanted certain outcomes, they couldn't predetermine the outcome because Smart, Horford and White could go 15-23 from three and blow it all up or a team could just roll over and suck so much, no matter how much officiating help they get, they would lose. But, with very even teams in a playoff atmosphere, a certain set of refs could sway the game a few points in a certain direction and that could be the be the difference in the NBA getting the outcome they desire.
So though the question wants it black and white, it's not, it's very very grey. Like I don't think the NBA runs predetermined games. But they probably do push outcomes in certain directions at certain times(mostly playoffs). Sometimes it pays off, sometimes it doesn't.
So I didn't vote in the poll but hopefully you can understand why. The proper answer isn't given as an option