Sometimes draw is the preferred shot. Someone hitting into a green with a false front can defeat the front by hitting a draw that releases forward a little. Mark O'Meara did this on No. 9 at Augusta the year he won the Masters. Faders sometimes hit the front with backspin, and roll backwards off the green and back down the fairway.
On the occasional birdie I get, it normally comes when I hit a draw back against a left-to-right crosswind.
Next May, the Senior PGA will go to Bellerive CC in St. Louis. Hole No. 14 is a tight par 4 that plays at about 381 yds., slight dogleg left. The fairway gets narrower the closer you get to the green. The green is on a diagonal from right to left - ideal for a slight draw - but lots of right-handers will try to hit a cut shot in there, and spin off onto the fringe.