Good point there. But my opinion is that Zuko is more powerfull than the insane Azula. Sane Azula is probably stronger than Zuko.

Well, Zuko admitted he'd need help when he thought Azula was still sane, so I think he's slightly less powerfull. But do you think there is a difference between most powerfull and skilled in fighting? Who will win. Bumi vs Azula Jeong Jeong vs Azla Jeong Jeong vs Zuko.

Bumi vs Azula: Bumi Wins
Jeong Jeong vs Azula: Azula Wins
Jeong Jeong vs Zuko: Jeong Jeong Wins

I actually think insane Azula could have beaten Zuko. Sure, she cheated and everything, but I believe Azula would have won using her remaining cunningness or insanity. But to me, I don't think anyone won the Agni Kai because Katara interfered due to Azula.

how could katara be better than pakku when katara wouldn't be close to where she is without pakku

No, she wouldn't have

But personally, I like that. It is a testament to the strength of villain that was created in Azula that it wasn't enough for Zuko to become stronger in order to beat her - Azula had to be diminished in order for Zuko to surpass her. It was insinuated in TBR and TSR that after Zuko learned original firebending they were dead evenly matched in raw firebending skill and power. But when tactics and general strategies were added to the mix, it was clear that Zuko was still marjorly out-classed. So for the final Agni Kai, Azula had to be stripped of her greatest weapon - her mind.

To sum it up mathematically:

Sane Azula > Post FBM Zuko > Insane Azula > Pre FBM Zuko.

But still, I stand by my statement that in many ways, Zuko almost deserved to get blasted by lightning for being so stupid. I mean, come on. He just told Azula, out loud, that he could redirect lightning. And then, when she gathered up a lightning bolt, he really expected her to shoot it at him? Granted, it was definitely showing that she was unhinged. But still, you'd have thought that he'd have a bit more respect for her as an opponent than that.

QFT

As much as it hurts to say it... I don't think that Azula could stand up to Ozai yet, at least not in open combat. Not in open combat however, Azula definitely has a chance. Remember, back in "The Chase", she managed to get Iroh but good, and Iroh was almost as powerful as Ozai.

But remember, Azula is ony 14-15 years old. She's nowhere near reached her peak, and yet she's already up there in the top five (arguably top three). Assuming that she manages to snap out of her mental crisis, who knows what she'll be capable of by the time she's an adult?