While I appreciate the many responses, not many have really answered my question (not that I asked it very well). I'm not looking for a list of holes that might be better than LCC, but rather I'd like to see why people think this hole could be considered the best first hole in the country.
Sven, thank you for posting the quote/link.. I think that goes a long way to explain Doak's choice.
The hole is not entirely similar to Mach in that the 'bail-out' away from the water/waste bunker leaves the preferred angle of approach.
But, with the pin clearly in view from the green, the golfer is given the choice from the tee whether he would prefer the shorter approach or the preferred angle. This decision is likely dictated by pin position. A front/left pin is easily accessed from any portion of the fairway so the golfer will do well to play for the shorter approach. A front pin should yield birdies.
A right/back pin is a different story. While the left side of the green allows for a running approach, the right side of the green juts well out into the water. Still, a running approach can be played if the golfer accepts a longer approach from the far left of the fairway. If he plays to the right he is left with an all-or-nothing approach should he choose to play at the pin.
I have often said that Dye is the master of temptation. He fools you to take on needless risks. I think he does this at the 1st as the golfer is tempted to challenge the trouble on the right, bringing a water hazard into play that is very far from the Line of Charm.
Then we are brought to the green. Like the green at Mach, there is nothing severe about it, but there is plenty to keep the golfer interested. A ridge off the front-right bunker will help to funnel balls to front pins, but repel shots played towards right pins. A roll on the left portion of the green helps to keep marginal approaches on the putting surface, but makes recovery from more severely bailed out approaches a far more difficult proposition. A spine in the green's centre can be used to funnel balls to the right corner of the green, but missing the spine means chips/putts will leave a ticklish recovery. And golfer's hoping to reach the narrowish back portion of the green must either play an all-carry approach or thread the needle to play a running approach between the ridge, ripple and spine.
So, in sum, we have a hole that will keep the golfer engaged from tee to green. We have a hole that, extreme pin positions aside, can be played conservatively for a four, or aggressively bring 3s and 6s into the equation. As Tom said about Mach, this hole is pretty open, but it's not dull.