Hooks are often caused by trying to stay behind the ball, which makes you flip your wrists at impact
A two plane swing manipulates the shaft on plane by rotating the club. The one plane swing is more athletic and naturally places the club on the correct swing and shoulder path, which is better for women and requires less maintenance.
In the one plane swing you bend more from the hips, your arms are hanging down and swinging around your chest and your finish is more rounded. It is easier to maintain because there are fewer moving parts than the two plane swing.