Even if this fight spawned a new Baby Yoda hug Prince shirt, it doesn’t change the psychology of the two fighters in question. Older Cap is fighting a younger version of himself, who, up to that moment, lived exactly as Older Cap did in history. Younger Cap thinks he’s fighting Loki and fights accordingly. Even if older Cap knows the timeline is changing, it doesn’t change the fact that he’s fighting a younger version of himself that he doesn’t want to hurt. Captain America is pretty much the moral center of the Avengers, even if he knows a new timeline is forming due to his actions, he’s going to try to protect a younger version of himself. The idea that he’d willingly maim and kill someone who is essentially exactly the same as himself up to that point in time is attributing way more ruthlessness than Steve Rogers ever had.
I think it shows psychology when Here we see Baby Yoda hug Prince shirt character at his lowest point. Someone who debuted as a brash, arrogant, overconfident, and proud prince completely robbed of his self-confidence and feeling dejected, disillusioned, worthless, while immersed thoughts of futility and despair. People who have been violated, notably sexually, often end up having self-esteem and self-control issues -her erratic behavior confirms that. Besides, when you work in an industry where sex is viewed as a mere transaction, it is bound to warp your understanding of intimacy. He was surprised that an Earthling dared to oppose him and Thanos was admiring Cap’s bravery.