> Purely hypothetically, if there are string indications that parental socio-economic status influence the chances of their children. And that socio-economic status is somewhat (to strongly) correlated with previous race-influenced policies, is a generation or two of compensating for that "inflicting racial injustice"? Is a failure to compensate for it not explicitly "continuing racial injustice"?

This makes two assumptions that I would challenge: that affirmative action as it exists at present is benefitting the most socioeconomically vulnerable underrepresented minorities and that the problem you're describing cannot be tackled with race neutral wealth redistribution and other need-aware policymaking.

Also, if you want to go down the racial grievance accounting rabbithole, then the Irish, Japanese, Jews, etc would like a word as well. You're be hard-pressed to find a race that doesn't have some such claim.