Batman and Superman are referred to as the world's finest. Now, the problem I have is when Superman and Batman are in a fight with multiple enemies and superman has so much fate in Batman that he let's him handle superman level enemies.
For example, when Lex Luthor issued an arrest on Superman and Batman, both Hawkman and Shazam went to capture them. Superman had no reservation of having batman fight Shazam, who has no discernable weaknesses to exploit. And in other cases, Superman has allowed batman to fight super powered individuals such as Bizarro, Cyborg Superman, metallo etc on his own.
This to me is really reckless, since if Batman gets seriously hurt or even killed in the fight, the negligence would be on Superman part for encouraging it. Superman basically sending a normal human to fight Superman level beings and being ok with it. This to me is a betrayal of the character's morals and integrity. It would make more sense if Supes was paired with, say Shazam, since they are equals and he knows that he can handle himself.
And superman carrying batman on missions that involve superman level opponent's would eventually get him killed in a real life scenario. Say in this instance, Supergirl who laughs was entirely taken over by Joker toxin and had no qualm about killing. Batman would be dead and I wouldn't blame the bat family putting all the blame on Superman for encouraging it. Also, Bruce going along with this also makes him look like an idiot or someone who is really deluded.