Creating a wider backswing has a lot of benefits. It tends to keep the club more outside of the plane, and can limit forearm rotation open. It also can help turn and tilt the shoulders when done properly. A good checkpoint from the FO View is to see both arms long and working away from the body.
Watch out for swaying, because reaching back can tend to draw your weight off the ball. Keep turning to finish the backswing, then in your case, more turn in the downswing.
This will lead to a more narrow downswing, and potential club head speed.