The problem with the phrase 'White privilege' is that it resonates with the already 'woke' , or willing to 'wake' White middle classes. It makes them re-think their lives and themselves in relation to what Black people undergo daily.
White working-class people, however, find it an insult. They look at their own externally-controlled, hand-to-mouth, disenfranchised, powerless lives and ask "What f*****g privilege?" Their unpaid bills, squalid housing, underfed and ill-clothed children - that's not any kind of privilege. As to the privilege of walking around in freedom and safety, well, I don't know what it's like over there, but over here, working class people, especially young men, seen in the 'wrong' area at the 'wrong' time can expect to be stopped by the police whatever colour they are!