Disclaimer: I have not listened to the podcast and have been keeping only a cursory eye on this thread.
It occurs to me that those who criticise "white feminism" are really criticising feminists, therefore women.
Scratch beneath the surface of the anti-"white feminism" sentiment and it reveals itself as an attack on women.
It is a way to undermine and ridicule women.
As a (white) feminist and as a human being I try hard to understand the lives of people less fortunate or different to me. I make an effort to think about the impact of views or policies on others who do not share the privileges that I have. Sometimes I succeed, sometimes I don't, because I'm not perfect.
But those who ridicule"white feminism" do not care one jot for the reflection that I and thousands of other rad fems like me engage in.
They don't ridicule Stonewall for being too white. They don't criticise disability activism for not being sufficiently ethnically diverse. They don't criticise Fathers for Justice for only having white men dress up as Spiderman.
Instead they carry on undermining, ridiculing, criticising women.
It was ever thus.