We've seen him turn a blind eye with Eros killing mortals after Aphrodite slept with him. That whole ordeal was sad and disgusting on Zeus' part. It wasn't fair but it benefited him enough to dismiss the human deaths. We've also seen the gods view humans as less than themselves and not being very empathetic towards them (even Hades) so I don't think Zeus will think it that high of an offense, something he could turn a blind eye to. So this is where his bro code comes in. Throughout the series Zeus is pro Persephone x Hades. He also puts his brothers before anyone else, even his own wife. Zeus has a warped way of thinking, but would probably do what he thinks would benefit Hades since he knows that Hades is fond of Persephone. So what will he do? He often does things without consulting others on their opinion. We have also already seen him tell Hades he could force Persephone to be Hades' bride. What if, as "punishment" he forces Persephone to marry Hades, the King of the Underworld, for all the mortal souls she claimed? I know this is a bit of stretch, but he might do it thinking that others who dont know Hades x Persephone relationship with one another would see it as a punishment, but an overall win for his brother (regardless of what Hades thinks). If that were to happen it would be almost like the original myth, where Hades takes Persephone as his bride and Zeus allows it, preventing Demeter from doing anything aside from having Persephone in spring. Now Hades is a gentleman and would be against marrying her in this way, and Persephone would be against it too. Zeus' way of thinking isn't rational, but since he doesnt care for human lives much, is sexist, and loves his brothers, and very rash in decision making, he might do something like this.
Also!! Zeus is very against Mynth. He hated his brother being with her, to him she is just a lowly river nymph who mistreats his brother. I wonder how he will react with the accusation coming from her and her friends (one of which is his side chick).