yo your belief that azula deserves a redeption arc is totally valid since everyone has the right their own beliefs and opinions, but I legit do not see it. I grew up in a kinda similar situation w/ my sister as azula and my sister doesn't deserve redemption or forgiveness. yeah we were both kids but that doesn't excuse what she did. I agree that azula definitely doesn't deserve to be demonized and should get mental health treatment, but she doesn't deserve redemption imo
I can definitely see where you're coming from, and as you said, everyone can have their own opinions.
I personally would like an Azula redemption arc for a few reasons, but I also have some very important criteria that are needed for the redemption to work.
Let's start with my criteria for an effective redemption:
Recognition on Azula's part that her actions were wrong and brutal. She needs to realise that she's done terrible things and that she needs to make amends.
Mental health treatment. And I mean long, thorough, life-changing mental health treatment.
Real amends being made on Azula's part. She needs to actively make amends, repair damages, face anger, fury, hurt and rejection and still be willing to make more amends.
An actual heartfelt apology, not because she's forced to but because she wants to. The important thing here is that she accepts that people don't have to forgive her, but that that shouldn't stop her from trying to earn their forgiveness.
And here is why I'd like to see Azula redeemed:
Like I mentioned in the post that you're referring to, Azula is fundamentally a kid who's a product of her surroundings. She's been abused all her life (from both of her parents) and she's never been shown compassion or love. I would love to see how she would react to someone genuinely caring about her. We see that as kids, Zuko and and Azula for example aren't enemies. There's real potential for a fascinating relationship there. From a story telling perspective, that's a fascinating story to explore imo
Another reason is because I would genuinely like to see that Azula isn't demonized. I know that this doesn't immediately mean that a redemption arc is the right thing but I think this has potential to show that if (and only if) real amends are made you can be a better person. No-one is born inherently good or inherently evil. It's your actions, your choices that make you who you are and you always have the possibility to strive to be better, to be good. I'm in no way an Azula apologist, she deserves to pay for her crimes and to make real amends but she can also be an example for people who are actively trying to change in the most fundamental way
Jumping off of that, Azula has been indoctrinated in a culture that facilitates her exact behaviour. Her despicable actions are just that, but they don't necessarily stem from her being fundamentally bad but from her being raised in this culture. Azula doesn't have the positive influences that Zuko has (i.e. Iroh and Ursa) and never sees anything wrong with her actions. I think this is a very interesting parallel to people in albeit less extreme situations of for example growing up racist or homophobic and understanding and making large amends by the time they grow up. It would be an interesting thing to explore in my opinion.
Lastly, I have to say that I simply pity Azula. Again, her mental health issues in no way excuse her actions but if I watch the final agni kai, it breaks my heart. Because this is a mentally ill fourteen year old girl fighting her older brother. I'm in no way saying she should be forgiven easily but I do think that IF she makes large appropriate amends and IF she gets mental health treatment she would deserve a second chance. I'll go on a quick tangent here, but you can explain this quite well using the differences between the American prison system that seeks to imprison criminals and keep them imprisoned and for example the German prison system that (while far from perfect and really quite racist but that's another story) seeks to rehabilitate convicts and reintroduce them to society. In my opinion, if there is a real will and real conviction to change and make amends, people sometimes deserve to get second chances.
Now as you said, everyone can have their own view on this and I completely understand that people will have conflicting views on this topic, especially when personal experiences parallel this situation. I'm in no way trying to shove my opinion onto others with this, I'm just trying to explain why I personally think an Azula redemption arc would be an interesting thing to explore. I am not trying to make light of abuse or trauma in any shape or form. Azula's actions are despicable but she also doesn't deserve to be demonized (as you said). I'm not saying an Azula redemption is something that absolutely must happen, but I do like the potential it would have.
Thank you for this ask, I hope you don't mind that I went on a bit of a ramble but I really like exploring possibilities for character development and I hope I've made my opinion a bit clearer. You're of course very welcome to disagree with this and I would love to hear more opinions on this topic!