I don't follow what this means? How does one 'use' intersectionality to promote interests? I thought intersectionality was the idea that intersections of identities have different experiences than the components.
Ex: Black women have experiences that are unique to that intersection of identity, which aren't experienced by people who are only one of women or Black.
The same way as any other idea/concept/framework; one finds arguments which it supports that promotes the interest one wants to promote. What's so strange about that?
Like, I wouldn't say that I 'use' 'asymptotic complexity' to promote engineering priorities over product management. I read a lot of nefariousness in that phrasing, but I guess that's not what was meant.