Common meaning:
Defensiveness of white people when they are accused of racism.
Hidden meaning of the Equity religion:
When white people get defensive for being called racist, that proves they are racist.
Discussion:
Equity believers already know that all white people are racists. This means that when they tell a white person they are racist and the white person objects, that is evidence of their racism.
In reality, white people are no more or less fragile than any other group. It is natural when you start calling any person evil and bad because of the color of their skin for them to not react well to it.
If the attacker then turns around and claims that the negative reaction is proof that what they said is true, that makes it even worse. In some way, what the Equity cult members are doing is committing emotional blackmail, so no matter how the people they attack respond, it can be considered proof of racism.
Using derogatory terms to silence enemies is always a bad idea.