They had not even a fair fight in boiling rock, it was a 2 on 1 and Azula was standing on an edge towards boiling water. And on the air temple had Azula's mental state already taken a bit of a nose dive, and without Appartements would have Zuko died and Azula still live. Zuko even performed better if you mean the crystal catacombs, but that was shady and seemed to be more Plot than anything else.
Azula is quicker, as shown by the fact of having better feats.
Her agility would have helped her in a fair fight with proper mental state, and her bending amped agility even helped her to survive at the air temple without help, and as Zuko shot a big Comet blast at her as her mental state was even worse.
What is that for a dumb argument? If Azula has more feats on a high level is she more versatile on a high level, there is nothing to discuss. And i consider Azula's shield in that Village against all of them as better than Zuko's, but there could be a case with his Twitter in smoke and shadow. Azula's explosive blast are better for sure, and whips are a technique even the Circus directer and Azula's goons in smoke and shadow have shown, and Azula has better fire techniques than that either way. There will be no stalemate without a Plot saying there must be.
The fight began with Zuko need Ing more effort to match Azula's first blast than her, and there is no reason to assume that Azula will not just use her several advantages to just beat Zulo instead of stalemating him.