No. Unequivocally no. This might make sense on its face but it misunderstands Batman at a fundamental level- Batman is a hero who cannot make sense. He is severely mentally ill and craves change physically and instantly wrought by his own two hands.
If a CEO were doing something outlandishly and visibly evil then they might find themselves on Batman’s radar, but exacerbating wealth inequality is just not something Batman usually cares about. Would it make sense for Batman to do something about it? Yes. Absolutely. Would the crazy 100 kg gymnast dressed like a giant bat, who has made a nightly ritual of shattering the spines of impoverished criminal dockworkers do that? No.
Now daredevil, daredevil might find himself beating the ass off a shady Manhattan CEO. But daredevil is sane, reasonable, and goal oriented and Batman is just not.
In most modern versions, yes. He’s just survivor’s guilt held together by a ceaseless run of violent distractions and related obsessions. Not the one to call on your union busting boss.
but exacerbating wealth inequality is just not something Batman usually cares about
In fact, being a mega-rich himself, he's probably best buddies with those CEOs so long as they don't do something so outlandishly evil that he has to go after them for publicity reasons.