Icon. What is an icon? When someone is iconic it means they have established a certain kind of legacy possibly, and I think it does come with time. It's something in the arts, I feel. Maybe not, maybe it doesn't have to be in the arts exactly. I'm not really sure. But I don't think you are born an icon.
I think a responsibility comes with notoriety, but I never think of it as power. It's more like something you hold, like grains of sand. If you keep your hand closed, you can have it and possess it, but if you open your fingers in any way, you can lose it just as quickly.