Yes, though the packaging changes over the years.
What Superman is supposed to represent, and is consistent through his entire career, is basically the paragon of humanity. He is able to be what humanity strives to be because of his abilities. He's the human ideal that humanity can never be because of our limitations. This isn't to say you can't make darker stories for him, Kingdom Come and Red Son for example, but the core is still there even in those two.
Red Son is the story of a god who loses his way, accidentally spurning the very ideals of humanity which he himself idolized.
Kingdom Come is the story of Superman deciding that perhaps, the world isn't worth saving anymore, that maybe he actually was the harbinger of the fall of humanity with the rise of a pantheon of near god like beings and their offspring. A world in which Superman is literally worshipped by various religious sects, which makes him uncomfortable in a whole lot of ways.
But through these the core is the same... unless you count the really really shitty and edgy red/blue shit in the 90's, but fuck that.
It seems like Man of Steel was aiming for the critical deconstruction style of Nolan's Batman, making the case for Superman being the cause of far more grief than he could possibly stop, but it failed to make the character of Superman that paragon of humanity, which makes the movie feel hollow. Instead he's horribly reckless, is directly responsible for hundreds of thousands of human deaths, a couple trillion in damages and the movie just had a terrible script anyways.