The "I mean" is added to give an informal tone instead of a "Here is a correction since you are incorrect" tone. Obviously it wasn't enough.

And I don't believe that this kind of obsession with being technically correct will lead to great social outcomes.

There is no such obsession. It's a joke, meant in jest. I'm confirming that parent is correct, and that I'm just being nitpicky for the sake of giving the title a meaning even if it's incorrect.

Granted, in real-life social situations, it's easier to spot when people are joking, in comparison to online text-only comments. Especially when the place where you leave the comment is particularly famous for being dry.