Steve Rogers never says he hates anyone. He doesn't even say he hates bullies, he just says he doesn't like them.
Steve Rogers never says that he hates anyone. That is, Steve Rogers never said he hated anyone until the mission on the train to capture Doctor Zola. When Bucky fell.
From that day on, Steve Rogers hated Armin Zola, because he was the reason that Steve lost his best friend, his brother, his Bucky.
When Steve went down in the plane, he was confident that Zola had been captured and imprisoned and he would get to see Bucky again.
When Steve woke up, he was confident in the fact that Zola was dead and gone.
When Steve and Natasha found the lab, the lab that had Zola, the man he hated, on a screen, which would keep Zola's work and actions alive, Steve was furious.
By that point, Steve knew that Bucky was still alive, but it was still Zola's fault that Bucky had fallen and been brainwashed by HYDRA the way he was. So he blames Zola and continues hating him. When he realized that the man had been allowed to plant HYDRA roots all throughout SHIELD from the beginning and that they had used Bucky to get rid of any opposition, including Howard and his wife and Director Fury, Steve hated the man more than he ever had anyone before. Steve did the only thing he could do to the man when he was dead and just a computer. He punched the computer.
Steve Rogers truly hated Arnim Zola.
AN: Here's a short one-shot that came to me while watching Captain America: The Winter Soldier again. Hope you liked it. I also have a few Agent Carter stories I'm working on, but I have no idea when they'll be up.
For my fans of The Pride, I am trying to work on another chapter, it's just taking me a really long time, but I'm closer to finishing it now.