I cringe when anyone says "a stage is polarizing" in the popular connotation. Stages aren't Polarizing. Favoring mobile characters isn't definitively polarizing. For example, Jigglypuff vs. Ice Climbers is approximately a +3 on Smashville. However, if that matchup is played on Brinstar, it's much closer to -1 to +1. As you can see, in this case, the matchup on Smashville is far and away more polarizing than the one on Brinstar. In this case, Brinstar NEUTRALIZES the matchup. How a stage affects a matchup is entirely character dependent. An attribute of polarity can't be assigned without heavy consideration of the characters played on it. And given we can always choose to not play on a specific stage with a specific character with how the selection process works, the polarity is a dependent variable.
@Tako:
FD and RC (along with BF) are two stages that show in game unit and frame consistency in the Unity Stage list, which is a pretty unique classification to stages. I would argue that if someone wanted to remove as much random chance playing a role in affecting the match via stage list as possible, they ought to use FD, BF, and RC.