Nah, you don't fully get it. Even in those cartoons, he's that idealistic character. What people don't get is that just because you're idealistic about the world, doesn't mean you have to be a squeaky clean poster boy. Take that second clip you posted of JLU. The shyt he says to Darkseid is spot-on for Superman because he does love his power, and he wishes he could always go all out because every person wishes to perform at his peak, but as he also says, he knows he's so much more powerful than anyone else that it makes him dangerous, and that's why he restricts himself.
Good advice about that issue from Hitman which is one of my favorite Superman issues of all time (and shows a very vulnerable Supes but really emphasizes why it's so important for him to inspire hope).
Again, I think most of you guys miss the point that just because he is a kind hearted farmer boy who believes in a better world doesn't mean he's a boyscout. He will always shut down the bad guys, but he knows the Superman persona represents far more than that. Grant Morrison nailed that in his New 52 Action Comics run, Joe Kelly absolutely nailed that in "What's so funny about Truth, Justice & The American Way?" and indeed, Garth Ennis (not Greg, Marty... Geez!) nailed that in "Of Thee I Sing".