It's been a couple years since I was there, so my recollections may be a bit sketchy.
As Phillippe says, there are many greens positioned so that the final fairway approach to the green is quite steep. Balls that fail to reach the green can roll backwards.
I think that Phillippe makes an incorrect assumption when he suggests:
"Does all the severe false fronts compromise or enhance the links style play of the course?"
I don't know whether the course was specifically designed to "enhance links style play" or not. The steep approaches make bouncing the ball into the green a less desirable option, but that is the nature of the unique challenge presented. One friend, not a member of the club, who visits Sand Hills regularly, is well known for putting a ball from long distances off the green. Although I don't do that, I can see this as a viable option, but it gets more problematic if you tried to hit a two or three hopper off a steep upslope into a green.
It may not be the nature of Sand Hills to allow (or accept) a certain type of shot, but that is true of virtually all golf courses. Sand Hills yields shots of great interest in a spectacular setting. If you've got an uphill approach to a green with a steep upslope in a big crosswind, you try to hit it low and just get it there, or maybe let it bounce once short of the green. The one time I remember hitting the 17th green, I hit a low 8-iron that bounced once on the apron before rolling on.
I say this feature is not a shortcoming; rather a characteristic of this unique course.