That's not the conclusion here. The conclusion is that there are many axes of oppression and one does not invalidate the other. The kind of thinking you describe was more common in the 60s and 70s but has fallen out of favor after the rise of black feminism and intersectional analysis.
Race does not bind more tightly than other aspects. Ableism exists. But the existence of white people who suffer in a myriad of ways does not negate the existence of white privilege in places like the US.
Race does not bind more tightly than other aspects. Ableism exists. But the existence of white people who suffer in a myriad of ways does not negate the existence of white privilege in places like the US.