This has always struck me as a fatal messaging problem. When you couch the problem as being one of unearned advantages, the obvious implication is that you believe the solution is to take away something from the "privileged" group, which immediately puts many people on the defensive, especially if they feel like they're already having a tough time of things.
The real problem isn't that [men / white people] may indirectly get propped-up when others are artificially held down -- it's that people are being held down. The current (and disastrous) progressive messaging often sounds like "we want to hold you down, too".