Having played Palmetto regularly since the late 70's it took me a long time to realize how many great greens Palmetto has, and how their variety fits into the rhythm and flow of the round.
Many are receptive to the ground game, a few are not, and a few slope deceptively away from the player, making local knowledge a must.
Controlling spin is paramount with slope and tilt often a factor, and there are multiple greens where a pretty good pitch or chip is required just to get on the green if the green is missed.
What really contributes to my enjoyment there is the fact that their "short grass" is not SO short and tight that reasonable contact is terrifying-allowing the player to absorb and play a variety of varied trajectories, spins and shots, rather than being so terrified of reasonable execution and predictability that the play is always a putt or bumbled hybrid.
I've only played it once but I remember outstanding, unique greens at Cape Arundel and certainly NGLA has a fabulous set of greens.
The faster turf speeds get(both on and around the green), the less variety and uniqueness that can be designed into greens.
Honestly, I also think 9 hole SI Goat Hill has a really good and varied set of greens that require local knowledge, strategy for approach locations, skill and imagination. With a bit of conditioning(or less) around the greens, they can be as fun as it gets, and the greens make the course the gem I believe it is.