But there's another important point here: the answer to the "am I really right?" question isn't always clear at the start of every argument.
Unless you believe there's room for (dis)proving your position, or getting some nuance on a topic [1], it's not a debate or an argument - it's a lecture. And lectures depend on other social dynamics which don't apply here.
[1] For example, maybe there are other reasons behind the position that the person can't express easily, or maybe you're actually arguing about different things.