BvS explored the idea of whether or not a Superhero should be viewed as a God or Devil. And it explored how that societal struggle played out with Batman versus how it played out with Superman. Superman was by far the more public hero/menace whereas Batman was much more of an underground guy whose status was more discussed only by the authorities. But it was the same struggle. Other characters, like Lex, Lois, Crippled Blow-Up guy, Alfred, Perry White etc. were just the mouthpieces for the discussion.
It was the DC version of Civil War. Civil War explored those same issues by just blowing up a building and then having the government suddenly make a unilateral decision that all heroes were potentially bad. BvS treated the issue more from the perspective of the general public. Both movies have drawbacks in their approaches. The MCU didn't really touch upon the hypocrisy of the government's stance. And BvS had the government as barely a presence in the whole argument.
Every day is a gift, not a given right.
I agree to an extent. With Civil War I saw all of the developments as simply plot devices and not any kind of statement on superheroes or superhero media. BvS to me is not just if superheroes should be viewed as Gods or Devils, but Superman himself. Most of the main characters and several side or one-off characters have their own perspectives on Superman, whereas Batman is just someone Clark Kent is pursuing and growing more ambivalent toward. But it's all about inner conflicts... Bruce has spent decades thwarting evil in his own city and the arrival Superman basically challenges everything. The Joker, who killed his Robin, is the worst person he's ever faced, but what if the Joker also had the ability to fly and catch rocket ships in midair? Bruce's fear is explored and developed in every scene he appears in, the same with Clark's personal turmoil regarding his personal sacrifice, to be a hero and this beacon of hope for essentially the entire human race when he himself is not human, is developed in every scene. Most of this isn't done through any sort of exposition. I feel that it was left this way for people to come out of it with their own interpretations, but that is what I found to be the strongest part of BvS