If you’ve done everything correct, then moving the tread up or down, then the tire scales. When moving it left or right (when looking at it from the side), it rotates (on the spot) . When moving it on the remaining axis, it just moves like it is, as if no Modifiers were used.
Usually, when you’d want to animate the wheel in any way, you’d Apply the Modifiers (the wheel wouldn’t be able to ‘turn’, rotate on the Z-axis., otherwise)