I agree that it’s helpful to disambiguate these definitions. Perhaps it would be easiest to just avoid the loaded word whenever possible and instead use something more specific like “racial prejudice” for your R(1) and “systemic bias” or “white privilege” for your R(2).
Regarding intergenerational accumulation of wealth, I will note that it seems like you’re making an assumption of upward mobility that isn’t justified. I would suggest reading Chetty’s recent work on intergenerational transfer of wealth, in which he concludes that blacks in America have reached a steady state, where they fall down the income hierarchy each generation as often as they climb it:
http://www.rajchetty.com/papers-categorized/#papers_opportunity
Asians and Hispanics are both steadily moving up, but there is no reason to expect that blacks or native Americans will ever catch up, at the rate things are going.
Chetty suggests several reasons for this problem. Black males get involved disproportionately with the criminal justice system, which could be seen as an R(2) problem. He also blames prejudice against blacks, perhaps more in the classic R(1) sense. He also singles out low rates of marriage and father presence in the black community, which is harder to classify, I would suggest it could be side effect of other problems — mass incarceration leads to a shortage of available and desirable men, the shortage predictably leads men to marry less, and boys without father figures are predictably more likely to be criminals. This sounds almost like it could be a vicious cycle independent of racism, but Chetty’s statistics suggest that young black men from even the richest black families are disproportionately likely to be arrested.
