I think the people who 'win' internet arguments are just the ones that compromise the least. Caring about the actual truth dooms your argument because you need a confirmation bias to win.
That very much depends on the argument and situation itself. That said, "winning" an argument is a lost game, since most the time, even when someone admits defeat, they go off still beleiving what they said originally anyway. And internet fight is all about convincing bystanders, they are the judges, you stop when you feel things are getting recursive.
Having a relationship should be focused more on emotional attachments than "doing it".
This is almost as conventional a belief as you could get and does not belong in this thread.
Well I guess you could say that it's Unpopular in the sense that not many people think that there is a single rule/pattern that can and should apply to every relationship between any two(or more) people.