Zuko was all for commiting the necessary evil (he won't have hesitated to redirect Azula's lightning back at her) Zuko might have talked big in Southern Raiders, but he doesn't have a good history of killing people off. Remember when he even tired to save Zhao's life, someone he had no reason to do anything but hate? And he didn't look like he would have been happy of Azula's death in the Southern Raiders beginning either. So I'm doubtful he would have gone through with it even given the chance.
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Zuko was all for commiting the necessary evil (he won't have hesitated to redirect Azula's lightning back at her)
Zuko might have talked big in Southern Raiders, but he doesn't have a good history of killing people off. Remember when he even tired to save Zhao's life, someone he had no reason to do anything but hate? And he didn't look like he would have been happy of Azula's death in the Southern Raiders beginning either. So I'm doubtful he would have gone through with it even given the chance.