I just finished reading the whole opinion, and yeah I think Justice Thomas would agree with you. He, in his concurrence, is super hostile to any sort of racial preference or protection. Holy Moly is this guy angry about racial preferences for anything. He started his concurrence with a history of slavery and proceeds through an excruciatingly detailed legal history of how we got rid of it. If he were here in the thread, he'd probably say "you are bound by your own predilections, as afforded to you by the Constitution, but if those predilections manifest harm in your result, you will find no quarter with me."