I mean ......psychologically maybe.
Batman has extreme degrees of Dissociative Identity Disorder, Depression, Obsessive-Compulsive Disorder, Posttraumatic Stress Disorder, Antisocial Personality Disorder, etc. In fairness, these aren't uncommon disorders for another person to exhibit. What is uncommon is that instead of seeking therapy, he became one of the world's most successful vigilantes.
Clark on the surface seems more "normal" to the average person. He's usually portrayed as very noble, caring, and good-natured. However, this is a God that decides to work a desk job in his downtime and then devotes the majority of his life outside of his family to safeguarding the world. All the world. I don't know how many people would sign up for that when placed in his shoes. Half of us are more likely to turn out like those "heroes" on The Boys.
That's the only comp I think there is. Despite Bruce being wealthy, he is still a man and more relatable than Superman, despite Clark's Kansas upbringing.