So what should white people have done/what should they do, to not be guilty of these terrible social sins that appear to be their fault no matter what actions they take?
In a larger sense: they should recognize that the entire American society was splintered a long time ago by racism and it never un-splintered. A metric fuck-ton of work needs to be done to rehabilitate the communities and whole socioeconomic strata that have been affected by this. It will probably take 20-50 years to undo, just because so many people have this "It's not my fault, so fuck it, I don't need to do anything" attitude.
Societies do not self-heal.
It's not that Black people's choices are bad, it's the racist responses to those choices that are the problem.
Owning a house? Haven't achieved that yet, but I haven't exactly been trying.
While shopping? Nope.
Walking around town? Nope.
Driving? If I'm speeding and/or driving like an idiot, I get attention from the cops. My driving record isn't exactly squeaky clean, but each infraction is because I was making the choice to not follow the rules of the road.
Sorry if my experience doesn't fit a different narrative, but in my experience if I'm looking/acting like an idiot I get treated as such. Nothing that is outside of my control though.