Looking at that article, it looks like for "Professional" degrees, it was about 25% white and 40% Asian. The "White 6%" figure came from a decrease in white workers in low-skilled roles and a massive increase in Hispanic people in those same roles.
Given that many DEI programs specifically focus on "high skill" roles (like software engineers), it's unlikely that DEI accounted for this disparity while massive numbers of black and hispanic people being hired for low-skilled jobs had a larger impact.
If only 25% of people hired for roles requiring professional degrees were white, that's still a remarkable number, given 2/3rds of people receiving professional degrees in 2021 where white, without even considering the total population of professional degree holders
The most imbalanced group in hiring were Asians, representing around 5% of the population but around 40% of the chart in that article. From my anecdotal experience with DEI programs, they generally don't target or encourage hiring Asians over black/Hispanic people. If we are purely talking about discrimination against white people, it's much more likely that an Indian or Chinese person is replacing a white person, not a "DEI hire" black person.
Given that many DEI programs specifically focus on "high skill" roles (like software engineers), it's unlikely that DEI accounted for this disparity while massive numbers of black and hispanic people being hired for low-skilled jobs had a larger impact.