All change happens primarily because it has been demonstrated in some way that keeping to the status quo will no longer work or will achieve less benefit than it used to. It's quite often less about being persuaded to seeing the other person's point of view or acting from a sense or morality as it is in realizing that you have something to gain by updating your outlook - often because public sentiment has changed due to concerted advocacy.

Men didn't "give" women the right to vote, except in the most literal sense of that term. Women won it through their tireless hard work. In fact, won is the term most often used to describe this situation. It wasn't just bestowed upon them from beneficence. They won it. Not recognizing that is really condescending and dismissive of the pain and the sacrifices that women endured to get to the point where men would "give" them the vote.

The same could be said about every single other major social justice initiative. Getting hung up on semantics seems like a way to avoid all the other more important points that I made.