>>12480922you're not understanding the correct interpretation of "direction of tire movement"
since it is rotating, there is translational motion and rotational motion. in a car, you consider the rotational motion.
in your diagram that is a different situation. that is a push to the entire wheel. here, you get that friction pushes to the left, because the push is attempting to move the bottom of the wheel to the right (because pushing doesn't induce any rotation). the friction only affects the bottom of the wheel, causing it to rotate.
in the example of a car, the car is rotating the wheel. it is not pushing the wheel. since it is rotating the wheel, friction at the bottom acts to the right (assuming clockwise wheel rotation), because it wants to slow the rotation. that's how cars move forward.
