Rich, if you've seen the third hole at Lawsonia, you know that there is no "correct side of the fairway." The green virtually opens from the rear compared to the tee. The only way to get a clean angle of approach is to drive it 330+ yards, and no one who hits it that far is playing the running approach shot that Ran references in his Lawsonia writeup.
Jason:
Perhaps you play a different game than I.
But let's characterize this hole and its length correctly. The 3rd hole at Lawsonia plays 386 from the tips, and 360-365 from the white/gold tees (which is where I play). A tee shot of 200-210 yards (my game) to the left side of the fairway there puts me adjacent to the right bunker, and if I've placed it correctly (and I never worry about going too far left at that hole -- there's nothing over there; there is all kinds of trouble right -- bunker, OB), I've got 150 yards or so straight on to the green that's far more open than if I'm hugging the right side of the fairway. For me, there is no question that there is a "correct side" of the fairway at the 3rd, and it's never on the right! And, as mentioned earlier, I disagree with Bogey that the ground game isn't an option there; in some circumstances, it may be the prudent play (I may not play a running 4-iron from 150 yards out, but I have deliberately bounced one on to the green there, which I would equate as utilization of the ground game).
On to the 18th, which plays 490 yards from the white tees (again, my tees of choice). My goal on the tee there is to place my tee shot on the left side of the fairway, making sure to avoid the first fairway bunker right (which, I can usually avoid since I'm short off the tee anyway.) Again, there is less trouble left off the tee than right (there is a big mound left, a grassed-in bunker of sorts, but I'd rather be near that than in a Lawsonia trap any day). Correctly played off the tee, I then tack right -- if I've really caught my drive, or the course is running fast, I may try to carry that farther-on-down fairway bunker right. But, usually, I play at it, but short of it. That will leave me 150 yards, give or take 10 yards, into a green that's open generally, but moreso if coming in from the right. In some conditions, I can see running the ball onto the green there.
Can I shape shots? Intentionally?
Sometimes. I can't imagine that the skill of being able to shape the ball doesn't help most players who do so most of the time. But, I'd disagree with your central premise that being able to do so is the only way one can appreciate and utilize the ground game.