It's called depraved indifference! Beware any nanny-stater who thinks they know what is best for you & do your darndest not to give them any kind of power over your well being!
It's not depraved indifference. Depraved indifference happens when an action with a desired consequence produces an unintended consequence that the actor knew or should have known was likely. This wasn't depraved indifference, because the consequence wasn't unintended, it was exactly what they wanted.
To draw an analogy: if I close my eyes and spray automatic weapons fire down a busy street, I can claim that I wasn't trying to hit anybody, I just wanted to fire my weapon. But if any of my bullets strike a target, I'm still guilty of murder because of depraved indifference, because I knew or should have known that bullets hitting things is a likely consequence of firing an automatic weapon.
If, on the other hand, I deliberately raise a gun to a person's forehead and carefully pull the trigger, that's not depraved indifference. That's just plain murder. And that's what the Louisiana authorities did.