What you describe is what the Jedi also interpreted balance as, but I’m suggesting Lucas’ twist was that they interpreted it incorrectly. Balance is equality on both sides. Anakin delivered on that. It just wasn’t what the Jedi thought it would be. That doesn’t make sense though. Stick with me for a sec please, because it does require a bit of openness.
Half the temple knew that Ani and Padme were together. Nobody said anything tho, it was all speculation//rumours to them but everyone knew about his feelings for Padme. Also, Anakin was no stranger to killing those he deemed evil. He did it in the Clone Wars a lot. And he had just cut off Dooku’s head a few days earlier. I know the only reason he wanted to save Palps was that he thought he was saving his wife but come on.