I definitely don't equate intersectionality with culture war, but I think it's important to understand why capitalism has adopted intersectionality in the specific way it has. A lot of the debates about it on the left seem to be rooted in conflating intersectionality with how it's commodified. Like you can think Robin D'Angelo is ridiculous without throwing intersectionality out the window.

All the big names I've seen labeled class reductionists are basically involved with diversity and intersectionality at some level, and openly express their support of those sort of initiatives, or have actually benefitted from them and admit it. Adolph Reed had a great example of when they were negotiating their collective agreement the EDI commitments were one of the first thing signed off and agreed to, but it took them a year of arbitration to get more sick days or something like that. It's the same with my union as well. It just shows how capital is not against EDI or intersectionality, they're against exploiting people less.