I don’t think they will 

1. If a player gets in the top 3 of votes, that means the audience likes watching them. Rigging them lower would likely lead some people to stop watching. Seeing your fave get top 3 is rewarding as a viewer and will make you more interested in the show. They’re going to want that effect for the largest number of viewers.
2. Vote count doesn’t determine who wins. If they want a certain person to get the power, that would mean rigging two different things which is wildly risky and not worth it