I largely agree with the gist of your comment, but you may be overgeneralizing a little. Depending on, not sure how the describe it, gruesomeness of the kill, it may make national news. If the poor person is a woman, it is a little more likely. If it is a pregnant woman, it is a little more likely. If there was a rape, incest, or some weird sexual story attached to it, media might pick it up. If it was a child, it is a lot more likely. If it was displayed in some public fashion, it may be hard not to cover it.

Short answer is it depends. Not that long ago, white guy got killed by a hispanic guy in what police determined to be a hate crime( https://www.buzzfeednews.com/article/craigsilverman/wisconsi... ). There was no uproar on CNN. Oddly, I did not see stuff on Fox News either. For whatever reason, it simply did not feel the narrative.

I agree with your example that it is not a given that the killing was political in nature ( as in, we simply don't have enough information to know ). But today, non-white person dying draws a lot more scrutiny. Now serial killers will only be left with the homeless..