That's about the only valid reason he has for putting the effort in to challenge an alien to a death duel, and not putting the effort in to see that said alien is a good guy.
Cue a 10 minute fight where neither character addresses that they're on the same side. If Superman throws a legit punch at Batman, this early in them meeting, he might as well be a different character. If Batman is stupid enough to not deduce that they should be friends, his parents might as well be alive.
The only reasonable way this would pan out is Superman declaring "Hey, Bruce, go home" before switching off the batsignal and going back to Metropolis.