Yes, the Lou Bloom / Game of Thrones perspective exists and has a basis in our world. When you play with power, you win or you die.
But I don't believe that's why American gays have been experiencing more and more support. It is not persuasion by equity, but simply by asking people what kind of future they want to live in. Gay life also also improved among EU peers for the same reasons.
Politics is the negotiation of power, and yet strangely, gay people have been able to achieve wins at the negotiating table simply by asking, often without leverage. Sometimes people will listen to your story and simply agree.