Niall,
I probably needed to be more precise about using the word raised. Yes, some are raised above the level of the preceding fairway, some are just a foot or two higher and some give the effect of being raised because of swales in front of the green. A few are at the end of a long climb, such as 10. The running approach is not precluded on every hole. When we were there it was wet and the greens were relatively slow. The running approach was rarely the best option. But we did have options, and with four of us playing the same shot from the same place in the Texas scramble format we frequently attempted four different ways of exercising a particular shot. I'm poor with a lob wedge and much prefer to chip with a 6- or 7-iron if I can and plenty of opportunities to do so presented themselves. Our 1-handicapper is a regular links player - La Moye - but he was a dab hand with the lob wedge and his greater skill always meant that he was going to be nearer the hole whatever club or route he took.
You have made me realise something else about the greens. Some are very exposed to the wind, others are cradled in the dunes and relatively sheltered. We had quite a stiff wind in our faces when we started, but as the round progressed (starting on the 6th) it became less of a factor until we stood on the very elevated 14th tee. Suddenly we were exposed to a wicked left-to-right wind which did most of us a lot of damage. Only our seaside 1-handicapper was able to find a straight and true drive. The wind must have died by the time we came to the 18th because we should have been playing right into the teeth of the prevailing winds.
I take the point about the Chart Hills bunkers, and perhaps this theme has been used too frequently. They didn't seem to affect us on the 18th, coming up short of them in two and being able to clear them with our third shot (not me, of course, but our better players). They caused us to think on the 4th - not a criticism - and while our best player went for the green and came up short in one of the bunkers our other good player was able to lay up out to the left whence the chip was reasonably straightforward.
I should have pointed out that the local rules on the scorecard are printed in English English (ie not American spelling), whereas standard scratch is not mentioned, but Rating/Slope are quoted. Similarly Player and Marker are ignored but Attest and Scorer are employed.