I think you do care, because if you really didn't you wouldn't be questioning.

I don't think the word "wrong" is the best choice here...

if what you see only makes you feel worse, then you need to step back and quit watching what it is upsetting you. Until we are on our own feet and functioning, we are no good to others, and overwhelming ourselves with more impossible situations keeps us down longer, imo. I don't watch much news at all, and keep the remote handy for anything that is too much for me. Things I can do nothing about, that distress me, only make me feel worse and what good is that? I want to feel better. I know when I feel better, then I will tackle some things for others...to help them if I can.