It was clear from the word go that depowering Superman to the extent that DC has would have larger implications and consequences, but it's unlikely that anyone thought it'd be the ability to finally get properly kicked around by Batman. It wouldn't have come up with the previous holder of the mantle, but the Batman has brought with him some new baggage and isn't terribly fond of Clark Kent's ongoing shenanigans. At least that's how Jim Gordon, the man under the helmet, views them, even if these particular shenanigans are saving the city and the world time and again. There will be spoilers APLENTY for BATMAN/SUPERMAN #22.
This issue's an interesting trip into a Batman completely unaccustomed to Superman's world, and he may wind up paying the consequences for that lack of familiarity. Particularly when a giant, underground barbarian with a grudge and an ax to grind shows up to hold Supes accountable for his past actions. Despite his reputation as a punch first, as questions later-type, Superman has a tendency toward being reasonable and diplomatic when the situation calls for it.
Batman, however...has a different view of these things. As a Gotham cop who's never been on the Justice League, ideas like this are likely not in his wheelhouse. This creates a different dynamic between these two characters as previously it was Batman's view of Earth as an Earthling that came into conflict with the outsider's view Superman brought, often to his own detriment. This creates a completely different dynamic where Supes is the one with experience who knows the score, while Gordon is flailing as an outsider, creating situations like this one. While Superman tries to play diplomat, and actually succeeds at it, Gordon takes...another tactic.
It was an important step to ensure that things weren't going to remain in the status quo with this book, especially with such a massive shake-up. This is a great way to do that without completely sacrificing the dynamic that makes these two such great partners, and I'm honestly impressed with how well it's already working AND with how well it slots into each others' characters without any cognitive dissonance on the part of the characters.