I'm the exact same way- what you said about not relating to other depressed people who feel numb, I've had that exact thought myself many times. I cry every single day- when I think about my future, when I think about my past, when I think about my present reality, even when I just get mildly frustrated about something. I've always been this way- in elementary school I was regularly punished for crying because all the teachers thought I did it "for attention"- even though I was deeply embarrassed by my own inability to stifle my tears and would hide in the bathroom rather than let anyone see my red and puffy face. It wasn't until middle school when I kept crying every single day that teachers finally became concerned (because surely a middle schooler wouldn't cry for attention) and a guidance counselor told me I have depression.
Even still, while I know other people with depression IRL none of them cry as much as me....I've always felt like there's something wrong with me, that other people can stop themselves from crying when they feel upset but I physically can't.