One factor that is overlooked is the integration of ethnic groups into mainstream culture. If the modern VRA/Census classifications had been done 100 years earlier, there might have been specific breakouts for Italians, Poles, and Irish. Despite language and cultural differences they integrated over a few generations. I wouldn't be surprised if in 2060 people wonder why Latinos and Asians were given special treatment in the late 20th and early 21st centuries. I suspect the history of slavery would keep awareness of the special status of blacks in the US.
Well people might wonder in 2060 why some Latino's were given the opportunity to stay in the country given they came to the US illegally.
I'm 50/50 if Blacks will keep their "special status" as you put it. I always see them staying with the Democrat Party though.