How exactly did they exaggerate Superman's powers? If anything they didn't even touch the tip of what Superman can do. Most of the hardcore fans on there is really just casual fans who think they know about Superman because they researched a few of his feats but never really read his comics.
To be fair they have over 70+ years of superman comics to go through and different version of the character.
And that's why I keep asking people, on whatever DEATH BATTLE! videos I scour, for shown and proven facts whenever they try to speculate stuff like that. They believe a combatant is / should be capable of doing whatever they believe they can do (either in general or solely based on some other feat), but the combatant him/herself has never actually been shown or said to have done whatever that is in any media..
Like we literally are shown Superman sneezing away an entire solar system, but then you have Goku fans try to say Goku could easily do such a thing too because (whatever) even though, regardless of anything they speculate, Goku has never actually been shown or said to have done such a thing himself, and so such a thing would not be counted towards his character in the battle.
Like in the last fight they had Lara use the ax to destroy the helicopter nate was in.