It’s what those facts say about you that matters. E.g. A group of democrats are presented a proposal on welfare. When presented as if the proposal came from a republican, they’ll think it’s bad. When from a democratic, they’ll think it’s good. Same proposal. Different story. Different influence.
What’s important is the story being told, how well do you identify with that story and the people telling that story. The facts in the story don’t matter.
Here is a paper discussing four studies that demostrate this power of group influence: