Welling Ware Does Tire Ware Affect The Speed Measured On The Speedometer?

Does tire ware affect the speed measured on the speedometer? - welling ware

Theoretically, the Articles of the radius of the tire and the size of the rim. I think the odometer measures the number of tire rotations to determine the speed. If the radius and the size is smaller, should not the distance covered in one rotation and the speed like that?