The wiki says the UC system has about 40% Asian American students. This suggests race conscious admissions do indeed (as the name suggests) discriminate based on race, at institutions like Harvard.
Nitpick: Comparing UC to Harvard isn't that straightforward. The UC system is California's, it disproportionately takes people from California, and California does have more Asians than the country as a whole, as well as more than the Northeast region in which Harvard is based.