Some sorts of "privilege" relevant to the moment might be that of being born on a wealthy square of the chess-board. Certainly, I -- too -- might have wished that someone would drop a $100 million-dollar business in my lap at the ripe old age of 24. If I had "got into trouble" for "behavioral problems," I might have found myself in a detention room at the Twin Pines Youth Ranch, or at the Chino Gladiator Academy. Others are "privileged" enough to spend their high-school years in a pricey military academy, from which they learned absolutely no discipline.
You don't need to be an ideologue to embrace Class Struggle. It just "is." To say that it "isn't" is to be blind. If Karl Marx believed that class struggle was an aspect of reality, please note that James Madison had similar ideas.
Privilege means being a major stockholder among several generations of them in an oil company, or any industry for whose product there is no practical substitute.
Privilege means getting convicted of killing someone while driving DUI, getting a slap on the wrist and an early release. Your mother might help you escape to Mexico.
But a lot of privilege is imagined. White privilege is just an assumption that the world will treat you better than those of a different complexion, based on a history of experience in which the world did indeed treat you better.
"Oh, sorry, officer! I was just holding up my cellphone and wallet! I'm unarmed!"
"So sorry to disturb you Mister White. We were looking for someone who was breaking car windows."
"I was just visiting my grandmother."
"Give your grandmother our regards, and let us know if you see anything suspicious -- here's my card."