I've been looking at your poly villain trio thing, and I noticed something; the "villains" sound (and probably act) a lot more heroic than the "heroes." Heck, they're "sinister goals" don't even sound so bad. That's not an issue, that's actually really interesting. So, why is it that they decided to let people call them "villains"?
They're technically breaking the laws to do what they do and all have murder in their backgrounds. That’s about it. I mean, all the other villains across the world are low key in love with them too so there’s that. Otherwise, people don’t really fear them for any reason other than their intimidating. And heroes hate them because they’ve never lost a battle before. The government and news bigwigs call them villains so they decide to play into it. They find it funny.
But yeah the point of their story is that the heroes arent really heroic and the villainous aren’t even technically villainous.