I'm one of those who's not much good at being sympathetic: I was extremely lucky that as a child, in that I never experienced any serious adversity. I certainly remember the feeling of seeing adults as superheroes, and longing to be that invincible adult myself, who wouldn't cry, or do childish things like falling over in the playground. I was a serial faller-over in the playground; I so often heard "now stop crying and go and play", and I "learned" that all falls of this kind were quite trivial. When I was a child, nobody in my immediate family was ever rushed to hospital, so I thought we were invincible, and that other people should be too. Even if I was told about older family members being in hospital, it didn't occur to me that it could happen to me or my parents.
There were times when my parents completely protected me from some quite bad problems happening to them. We were burgled at night when I was 8; we children slept right through it, and my parents were bright and cheerful to us while the police were looking around. I was totally taken in by this, on the computer (not stolen) as usual the next day, and I also felt smug that my parents were wrong when they had said earlier we didn't need a burglar alarm. That small victory over my parents always being right was all I cared about. I was blissfully unaware until some years later that it was no "smash and grab": it was an extremely aggravated burglary, which lasted a long time, very frightening for them indeed, with groping and threats of violence. But when they told me this some years later, and showed me their police statements, they didn't say a word about how it had made them feel.
Even now, when someone gets hurt, I'm very willing to provide practical help, but I'm not much good as a shoulder to cry on; I'm very much a "just get on with it" person, which gets me into trouble sometimes. When I went to hospital myself recently for a (trivial) injury, this was such a novelty to me, and I was in denial about being there as a patient; I was thinking more about the disruption to my day than whether my injury would have any long-lasting consequences!