People who cannot cope with other people's feeling (or their own) tend to operate as you describe, op. It's very common with men, presumably because boys are brought up to stuff down their sadness and never show pain, etc. They are typically shamed and argued with whenever they are sad... which translates to a man who behaves like your h does.
It's not fair or right, it's a shit situation.
My own dp is very supportive but has to almost physically struggle not to argue with me sometimes while I'm "having feelings". Because in his family, that's how you deal with feelings, you argue them away. In some families, it's more about shaming them away, or laughing them away... horrible really.
The answer is for dh to learn emotional coping skills and empathetic listening. If he doesnt want to do that, unfortunately then you need to stop going to him with your feelings, he won't be able to help you. Divorce is also an option, especially if his refusal to learn these skills eventually erodes the intimacy between you.
Stories like yours are sad illustrations of how sexism/toxic masculinity impacts boys, men, and their future relationships. This is why boys must be allowed to cry and be comforted, ideally by both parents.