I think the issue people are rioting about is that it's not a 1 in a billion chance for everyone. It's more like 1 in a quintillion for a rich white person, and 1 in a million for a person of color. That inequality stems from systemic racism in the police force. What you're saying is that it would be less of a problem if the deaths were evenly distributed across the population. That may be true, but I don't think many people would suggest it as a viable solution to the problem.
Profiling is an aspect of systemic racism.
Systemic racism doesn't need animosity for it to happen. Systemic racism is a term for how a system discriminates against race - that might be something like defining how much to spend on schools based on the taxable income of residents. That's not "racist" in the sense that someone deliberately decided to give people of color get less resources, but the outcome of the decision is that people of color get less resources. That is systemic racism. There doesn't need to be any racist intent on the part of any individuals in that system for it to happen (though there often is.)
> that might be something like defining how much to spend on schools based on the taxable income of residents.
is purely economic discrimination. Frankly, I think the recent redefinition is lacking.
No one is drawing the line on race. No one is saying "Let's fix race issues and ignore gender and poverty issues." All of these problems need to be fixed. People are focusing on race right now because several people have been literally killed by police officers who have been charged with their murders.
Ever seen some racists pushing their views the last 5 years in the most reactionary fashion? Of course you are drawing the line on race, believe it or not. Ever noticed the talk about white privilege by some latte-slurping pseudo academics saturating any discussion on racism without necessary experience? Some people obviously did.
You can argue that there is an established academic jargon, but I would dispute its accuracy and perspective as well.