The reason why I am asking is that I don't terminally value other people whom I don't directly know. I am still disturbed by learning about their suffering and I may value them instrumentally as bearers of cultural or linguistic diversity or for other reasons, but I am not sad if I learn that fifty miners have died in an accident in Chile, for example.

Me neither, but 10^9 >> 50. (Okay, “I don't terminally value other people whom I don't directly know” is not strictly true for me, but the amount by which I terminally value them is epsilon. And epsilon times a billion is not that small.