Question #1
In the anonymous games (On Ignition playing 5/10), is there any incentive to bluff catch in situations where Hero is theoretically indifferent between calling and folding. Say we are playing our last hand at the table and won't be playing anymore with villains. If the expectation of our call is close to 0 either way, why not just fold and lower variance?

If we decide to bluff catch and this hypothetical villain is betting a perfectly polarized range, then his bluffs will lose, but his value hands will win. This means his expected value doesn't increase right?

Question #2:
In this scenario, what if villain is out of balance and bluffing too much? If we are only bluff catching at an optimal frequency and folding the rest of our bluff catchers, does Hero gain any overall EV in this spot?