I don’t think anyone has a problem with that. The problem arises when people perceive that they are being missionized. Because, another shocker, I know, Litvish, Satmer, Sefardim, etc. also believe that their own derachim are more true than the other ones. And yet, you’ll argue with them over it as you noted above. Don’t get all offended when they argue back.
I’m not offended when people argue back. If the discussion would be along the lines of “we’re better because we daven on time, and we don’t agree that what you’re doing is right. I don’t know where you got this idea that you can daven late because you want a bit more Kavanah, if you even have more kavanah, but whatever.” it would be one story.
Saying that we’re Kofrim over this is another. And getting insulted when we argue back is surprising.