What do you use instead?
In one abstract example there'll be a discussion of why x group are so sensitve about y. Instead of saying "check your privilege" I say something like "maybe their tired of having to worry about z? When was the last time you had to think about z on a day to day basis?", asking genuinely and waiting for response, not just asked rhetorically.
I like it. “Privilege” means different things to the speaker and to the listener, so skip the label and delve into the thing that you mean instead.
Privilege just invokes the idea of 'fat cats' in a dark hunting lodge smoking stogies and sipping whiskey, complaining about commoners.