Does he ever get visibly upset or worried about anything?
I don't normally approve of this, but wait until he is, and repeat the kind of wording he'd use in that kind of situation back to him exactly and see how it lands.
If it works, and he stops worrying or getting upset, then that's one thing. BUT, if he gets frustrated, angry, annoyed that you're not giving him sympathy or empathy.....then he knows full well what empathy or sympathy is but he's unwilling to provide it to others.
You might get an objection to this, something like 'Yeah but my situation is worse, your situation wasn't as bad', and that's at least half the problem. Often, people like this are always putting their own issues or problems above everyone else's. Everything is so much worse for them and their issue has to be the most important issue in the room. You couldn't possibly know what they're going through, so you deserve zero sympathy and they deserve everything.
Others are simply unwilling to provide the emotional labour necessary to make others feel better. It's hard work, they can't be bothered to sit down and actually spend time with someone to help them feel better or simply listen, so they diminish other people's problems so they don't have to deal with them.
For my grandma he said, "she looked fine last time I saw her. How do you actually know she's dying I told him the doctors have advised she go to a hospice for her last few weeks. He said, "I'll believe it when I see it, unless you've personally talked to the doctor, I'd stop worrying. He asked what grans plans were for Christmas and I said, she'll be dead by Christmas. He told me I was being pessimistic and walked away
For my best friend I was crying and he asked what was wrong. After I told him I was scared she'll die he said, "I worry about climate change but I've realised there's nothing I can do about it, so there's no point you getting upset. Is that the only thing making you cry?
These responses are just bizarre! The only thing that's making him cry? God. I assume he won't shed a tear then if you die before him :/
I've outlined some common empathy/sympathy issues above, but this is so extreme that I'm not actually sure if they will apply to your husband. Surely emotional support is something most people need in a marriage? I'm concerned for you because you're not able rely on him for this. I'm concerned that as you grow old and sick, he simply won't be there fore you in the way you need, because he certainly isn't now. He sounds like a robot.