Let's consider broadly the number of courses out there where it is rare--let's say, on four holes or fewer--to be all of the following:
a) at least pin-high
b) more than a club length off the green
c) in fairway-height grass
Then let's consider broadly the 400-600 (or up to 1,000, if you want) very good/great/wonderful/top-notch courses in the world. How many of them are of the above type? Very, very few, right? Which ones are they?
Of what I'd call the top 15-20 courses I've played (and, granted, my resumé of courses played is nothing compared to that of most people on this site), I'd say that none of them satisfy a, b and c above. Granted, my standard of four holes is not very high, but nonetheless I believe that thought experiment is instructive about what makes for an interesting, repeatedly desirable set of green complexes.
I don't think anyone's calling for a universal mandate that all greens on all courses have loads of short grass around them. But I'd wager that in that big group of the worlds best courses, there are many more where there is pin-high short grass by almost every green than there are courses where there is pin-high short grass around almost none of the greens.