I only see “white supremacy” when I look at a Karen. I don’t see any people named “karen” being conflated with a “karen”. I would only use “Karen” on a woman if I saw her manipulating some authority to her ends.
Personally, I would only be worried if the “Karen” in question was comfortable calling the cops or “speaking to the manager” in a way that would reflect negatively on staff when they don’t deserve it. I don’t see many calling a white, middle-aged woman a “karen” for complaining about an overcooked steak when she ordered “rare”.
I am sorry people named “karen” are caught in the crossfire, but I would treat any resulting conflict as meaningful until you are able to listen to people using the epithet.
If you still have concerns, I probably do not wish to interact with them or you.
