White fragility is important in highlighting the degrees of injustice. While not all white individuals are actively racist or grossly privileged, the notion is important in focusing attention solely on the injustices which people of colour exclusively or disproportionately face, such as police brutality.
White fragility does not advocate for not involving white people in the fight for social equality; instead, it aids in educating them on how to productively contribute as an ally. Take, for instance, the killing of George Floyd and the subsequent protests - in that highly charged environment there is no use in pointing out that not all white people are racists or in expressing sentiments of white guilt. Both detract from the sense of justice and catharsis the African American community were seeking with the protests and make the white individual and their feelings the focal point.