I don't think your post is too weird, but one can assume some people don't have an answer for it, or just don't want to elaborate on it. And it being a forum, there is no rule where people have to respond to topic. People can choose to ignore it. And sometimes posts will be overlooked. I've had a few topics that I started and didn't get any responses, I assumed it wasn't in anyones interest to comment on it and left it be.
However; I'll comment on said topic
Much like yourself, I don't feel said emotional involvement of others. I sometimes don't even know how my own emotions hold up, since they're weirdly absent sometimes. Much like you, I can understand when someone is upset. I tend to talk to these people and see if there's anything "sensible" to advise them in. I don't recognize said emotions though, people have to be pretty blunt and tell me "I'm mad for reason X" for me to follow up and ask "why?". This is pretty much how it goes between me and my girlfriend. I don't pick up on it. Nor do I understand what it when my parents, my best friend or someone in the street shows emotions that will be obvious for most people. As such, I don't feel their emotion, and honestly, that's fine with me.
Having a lack of empathy is a pretty common AS trait, though it's more recognizing than actually "not feeling" it. In the past I've been told to have sociopathic tendencies for not feeling it, aside from being blind enough to not recognize them to start with.
As for you and your kids and feeling more concern for them. Perhaps that has to do with the knowledge that their more vulnerable and you're, to some degree responsible for them. There's no way to turn it around, but if you have kids, you are the responsible for their wellbeing until a certain age (cleary not everyone shares this opinion; that's another matter).
Something to underline here, and that's a common misconception about empathy. It's not that everyone is ignorant and ignores empathy towards others, some people just do not get it. But common belief, from what I understand, is that "everyone feels empathic for others and if they don't, they're just trying to get out of offering help or support for these people".
All this aside; I don't know if I could deal with being upset over something that isn't my personal issue to begin with. I'm having my own stuff to deal with already and that's already a handful.