I can't speak for all cucks obviously, but for myself I do have a very strong masochistic need, whether that is 'damaged' or not i'm not too sure. But if you were unlucky enough to be born with a small penis, your formative sexual years are pretty much made up of a lot frustration, anger, self doubt, embarrassment, rejection (quite a lot of that) loneliness as well. With that, I tended to medicate those feelings with a disproportianate amount of masturbation. You name it... happy, sad, depressed, horny, lonely, bored, rejected etc. if I had the house to myself I would constantly masturbate to 'cheer' myself up and to feel better.
With saying that, by the time i lost my virginity at almost 23yo, in my head I had felt/ accepted I didn't deserve pussy, and that was for good looking, fun, confident, well hung guys, not for guys like me that were just constantly squirting their 'worthless' cum into tissues and flushing it down the toilet, while the jocks were flooding as many pussies as they wanted.
The woman I lost my virginity to who then became my wife, said from the start, that I needed to understand, that for me, pussy is privilege not a right and something I had to work for and earn. I knew no different and accepted it without an issue.
So, yes, you do tend to get blueprinted from an early age, and we become a product of our environment, but I'm not too sure damaged is the correct term. The fact that a wife wants to fuck other men, or that a male because he is well endowed has the need or feels the urge to fuck another mans wife/ married women and then just walk away, could be seen as equally as morally damaged as the cuck who accepts or desires it.
I/ we watch a lot of IR porn, because it reconfirms in my mind I guess, when I see those women or my wife react to big cocks, it tells me because i'm at the opposite end of the spectrum, I get the sex that goes with that as well... masturbation is all I deserve instead of the real thing. Plus, i'm never jealous of these men, but God, envious is a totally other thing.