Like if I didn't know you Droid, I honestly probably would have glossed over the news I saw about the riots in Dublin, and wouldn't have given it a second thought. Or if I didn't have family/friends in NYC during that flooding (which I don't think was that dangerous but which may have been), I would have glossed over that too.
The closest I get to this, re: the Israel/Palestine conflict, is when I have colleagues based in or traveling through that area of the world, in which cases I just express concern for any potential difficulties they're facing, but even in those few cases none of them have been effected (or at least haven't expressed such).
If my dad moved to Israel and was there during all this, I'd feel very differently. I do think there is something universal about this sort of economy of empathy, but I do take responsibility for not willing/mustering more empathy, despite, like Gus says, there being perpetual occasion for such throughout human history.
It might be worth considering this more carefully. People talk about Srebrenica still, they talk about Rwanda, East Timor. This isn't some unpleasant local news story. It's a historically significant mass atrocity.