Willow, the Salix family, comprises many sub species. Salix Alba, or the White Willow, is used for cricket bats because it is a light wod that doesnt splinter easily. All species of willow as Alex mentions are classified Not Durable, and is known as a class 5 timber. The Salix family also contains the Weeping willow which is easily identifiable and the tree that many refer to as "willow". This tree grows at all angles and spends it life normally on river banks, thriving on the wet. "Have you turneed Willow?" is an unqualified question that will get very mixed responses because the question is not specific, the more specific question should get more agreement in the answers. Same applys to Leylandii. Golden Leylandii turns beautifully, the other stuff, I am told, doesnt, similar to the Willow Question.
Dont know if Woody has turned Weeping Willow, but I did once and it was orrible. however others may have different experiences, I have never tried Cricket Bat Willow. I held a cricket bat once but it didnt get in the way and the ball hit the stumps.