I cant attest to other players' experience with shot "randomness". I do, however, think that the start of the course should always be oriented toward a pin, though. Day 29 was oriented backwards on start, which was a little weird. If I've selected a club, zoom in, and switch clubs, don't zoom me back out. A few subtle eggs in the game might add some fun to it too. Example, if I hit a tree, some birds might fly out of it; or if I hit a water hazard a few consecutive times, a frog might hop across the lilly pads. If I make the top N% for the day, the ribbon/badge might need some explanation. Last, can I ever see/replay a previous course?
Edit: Collision detection for the pin is a little goofed. On rare occasion, the pin will rise at the time the ball is on an arc, and may abruptly stop in the air--completing its bounces, but stopping any advancement.