Hey, I think some nuance was lost over the imperfect medium of text. Here's what OP is getting at—when someone ignores their emotions, they don't just go away. Emotions are just signals from the body about what is good for it and what is bad for it. Emotions are the body telling someone what it needs. If emotions are ignored, then the body isn't getting what it needs, so it sends stronger signals. When I don't eat, I get hungrier (until I start starving and my body begins eating itself, anyways). When I don't tend to an injury, it hurts more. When I'm resentful and I don't do anything about my feelings of resentment, those feelings grow in strength and force.
Any person who has been told by society that they should disregard their emotions will have a body which is screaming its discontent at them. I'm a man and I was raised to hide and repress my feelings (although I was never really into extreme toxic masculinity). It was fucking agonizing, and I became so, so sensitive to things. It took years of therapy for me to learn that the body keeps the score and that I had to feel and express my feelings, just like I had to eat or bandage a cut.
Anyone who has suffered from emotional self-neglect will be sensitive. Western society pushes men to neglect themselves, so those men will be sensitive. That's all OP meant. Men who accept their emotions for what they are and tend to them will be much less sensitive and will almost certainly be happier people.