I feel like a good middle ground would be to use the SAT or alternative as a threshold for consideration, but not for ranking. I could believe that there could be a good evidence based cut off (perhaps with other quantitative measures) to answer "does this student meet the basic requirements" much more so then "will a student who scored 50 points higher do well after 4 years of study"
The mean score for people attending UC Berkeley is 1415 out of 1600.
If the UC admissions office were to use a threshold, it would have to be low enough that they don't get more Asians than they want. That threshold might end up being as low as 1010.