It's not that individual experiences being discriminated against are a substitute for your precious stats. It's that those stats are immaterial, they mean nothing to the people that are harmed. "Oh honey, lost your job? Well OTHER white people have privilege go STFU". Not going to work, or win people over. Discriminate against enough people, in the right places, and presto... no more Presidency for you.
It shouldn't be such a pickle to figure out attacking people isn't the best solution to building a new majority. Too many people are left behind in America, no one should have their noses rubbed in it. We should be seen as being there FOR them, not against them.