Back on topic...a bowling ball has to slow down to change direction...when it does (and if properly) the bowling ball will travel in the direction the rotation is...so back to the tire theory...if the tire is rotating at a 12:00 o'clock rotation it will merely continue in that direction...if it is rotating at a 45 degree rotational angle, it will travel in that direction...
The forces applied by the bowler will effect what the bowling ball does