In Terminator 2 the swearing IS used as a way to highlight just how immature the kid was.
Even by that stretched interpretation, you've admitted that it had dramatic effect in the film.
But here are a few other special moments from the film (which I've censored for delicate ears):
Quote
Miles Dyson: Just let the boy go. Sarah Connor: Shut up! Shut up, shut up, SHUT UP! It's all your fault! Motherlover, it's all your fault! Miles Dyson: What?
Sarah Connor: [armed with a syringe filled with drain cleaner] I'll pump him full of this poop, I swear!
Miles Dyson: [after swiping his card on a control panel, nothing happens] My card should access this thing. [swipes his card several times more, nothing happens, then he tries to open it up with his hand] Sarah Connor: What happened? Miles Dyson: Darn it. [checks the map screen and finds out what is going on] Miles Dyson: The silent alarm is tripped. All of the codes are neutralized in the entire building, nothing will open anywhere now. We have to abort. Sarah Connor: [gets in front of Dyson] No. We'll go all the way.