Generally speaking, AP is what determines a winner ultimately most of the time. OP fights end with the enemies putting each other's moves against one another to decide the winner. That's how Yamato vs Kaido, Zoro vs King, and Luffy vs Kaido ended. So of course, AP would be the most important factor as the difference b/w them in other states isn't too big to make a difference. I mean, they're both very skilled weapon users who excel in raw fighting skills and Haki.
Why would I troll? She literally couldn't harm her father while Zoro can, without CoC that is. Her CoC is not weak in general but it's weak enough that Zoro can surpass her in an offense without his own CoC. The fact that you have to lowball Zoro's Rooftop feats to highlight Yamato just proves where she stands in comparison to him. Most high tiers are capable of holding off top-tiers for a while. I don't get why someone of you acts like it's such an impossible task.