The Artemis mission isn't to be the first to get to the moon. The mission is to make a permanent lunar settlement.

China might land some small lander before StarShip arrives - but with reuse and huge capacity StarShip is an excellent cargo vehicle.

I seriously doubt it. While China's made a lot of progress, there's no possible way the US government isn't suddenly going to discover a priority if there's a risk China gets another man on the moon first this century.