They shouldn't lose their positions because of Stallman's beliefs, but because of their own unwise decision to return him to a position of greater influence.
In that case, would you agree that the stuff about his opinions is irrelevant? In fact, given that there's some likelihood he'll remain at FSF and certainly will remain a famous programmer, wouldn't it then be best to draw as little attention as possible to his unpopular opinions? (This is not the same as "wouldn't it be best to draw as little attention as possible to his alleged bad behavior", because whereas him mistreating people would be bad no matter how many people knew about it, him having unpopular opinions that won't change anything does not harm anyone, and if people are distressed to learn about those opinions, then publicizing those opinions increases that distress.)