That being said, you really have to download some actual coursework from critical race programs at modern universities and actually read through it. And then go on a wikipedia spree to understand the cultural evolution of them and where they came from.
Modern economic Marxists may or may not like these ideas, but certainly the original leaders of critical race theory were Marxists, the same academic language and ideas used by Marxists are ubiquitous in critical race texts. It's in the DNA.
It's not about blaming Marxism, casting some kind of cold war boogey-man, it's just...a strange or somewhat alien or foreign type of thought to many people in the year 2020 but it is a big part of the intellectual underpinnings of this branch of education/academia that is growing in cultural importance.
Essentially, Woke ideologists believe that identity groups are in a constant struggle for power, and they describe two main classes: the oppressed, and the oppressors. They are also rooted in Marxist ideology, believing in the emancipation of the oppressed by seizing the means of production - except where Marxists strictly focused on economic means, critical theorists focus on narrative and cultural means.
In terms of economics, trade and industry, Asians are considered part of the oppressor group along with Whites and Jews. Asians are part of a narrative where they are known to be high earners and hold powerful positions in a wide array of industries. That's why they don't care about your ethnicity, because it's irrelevant to their stated goals of emancipating the oppressed.