edit: thinking about it, we could look at your tone here as well to illustrate the point. Sure you weren't as uhh "passionate," but let's look at it more closely:
>Nah you still come off as childish when you reply like that
1) "Nah" is a very dismissive way of saying "I disagree." Then you follow it up 2) by calling someone "childish." There are certainly more respectful ways to make your point! Then again, I don't think it's that big of a deal. Someone else might though.