I'll take a stab at this.

I think betting with a polarized range is neutral EV, no matter what villain's calling range looks like. If he's calling wide, then the top of our range gets a lot of value, but the bottom of our range is -EV to bet. Conversely, if he's calling narrowly, then the bottom of our range steals a lot of equity, but the top of our range loses value relative to what it would have if we just checked back. The middle of our range beats his bottom 33% of the time, loses to his top 33%, and flips against his middle 33%. So also neutral EV when we check that back.

I think polarizing is fine if we don't have a good idea of what villain's calling range is since it's technically never a mistake. If we do have some idea of what he'll call with, then we can exploit it some other way.