I'm sure there are critiques of how intersectionality is applied on the ground, but if someone told me that intersectionality wasn't vital and necessary to any socialist movement I would show them the print-out of ppb I keep in my wallet for emergencies.
Like if anything I'd go look for commentaries from black Americans on how leftists fail to understand the intersections of race and class in the US, or fail to apply that knowledge in practice.
Like intersectionality as an ideology lacking a class critique or being idealist?
"Although intersectionality can usefully describe the effects of multiple oppressions, I propose, it does not offer an adequate explanatory framework for addressing the root causes of social inequality in the capitalist socioeconomic system. In fact, intersectionality can pose a barrier when one begins to ask other kinds of questions about the reasons for inequality—that is, when one moves past the discourse of “rights” and institutional policy, which presuppose the existence of social relations based upon the private ownership of the means of production and the exploitation of labor."
This is what I have in mind.
That doesn't make any sense. Intersectionality, at least the version I'm familiar with, explicitly includes the critique of capitalism as one of it's core elements. It sounds like you're asking about some Democrat/liberal perversion of the original concept.
From the Combahee River Collective Statement;
We realize that the liberation of all oppressed peoples necessitates the destruction of the political-economic systems of capitalism and imperialism as well as patriarchy. We are socialists because we believe that work must be organized for the collective benefit of those who do the work and create the products, and not for the profit of the bosses. Material resources must be equally distributed among those who create these resources. We are not convinced, however, that a socialist revolution that is not also a feminist and anti-racist revolution will guarantee our liberation.
Are there specific failures you're concerned about? Like not positioning women's oppression having distinct class features such that working class women face distinct challenges from more economically advantaged women? Or failure to understand the differing position of minority women compared to white women?
Oh man we need to get a giant inflatable PPB the way the unions have Scabby the Rat.
This is the original Combahee River Collective statement that is, as far as I know, generally held to be the establishing document of Intersectionalism. If you haven't already read it it's probably a good place to start.
https://americanstudies.yale.edu/sites/default/files/files/Keyword%20Coalition_Readings.pdf
From Yale, funnily enough. Must be part of their opposition research file.
I think this is a bit of a misleading question. Intersectionality as such is basically just putting on multiple different ideology glasses at once and seeing what happens in the overlaps. Depending on what glasses you combine you can see whatever you like, for good and bad. So a better question is probably more specific to whatever glasses someone puts on.
https://mronline.org/2018/10/22/intersectionality-a-marxist-critique/
This isn't quite what you're looking for, but I've always associated intersectionality with online leftism and generally the move away from real politics to symbolic politics and in this episode of dead pundit society the host intervirws matt christman about the same issue