I think on a great golf course a player should be able to go through all the holes in sequence describing them with a short sentence, effectively telling them apart on key differentiating elements
Of course! And with many people on this site, given enough plays of the course, people can do that. But I truly believe that is not living in reality. The reality of the average golfer. And I mean golfer...not someone who plays occasionally. Maybe a 7 handicapper who plays in all his clubs tournaments and travels 4 times a year to play some courses that his friends recommend. He doesn't read Mackenzie's books, he doesn't frequent GCA.com, he has no idea what a Redan is. He just plays golf for fun. I'd bet he couldn't write a short sentence explaining what the key differentiating elements are of the holes on his home course. Why the heck would he waste his time doing that?!?!? He could spend his time playing golf or working on his game at the range. He simply doesn't care about architecture like the few of us on this site do.
But, someone who does care about architecture...5% of the golfing population, maybe...could, after a few plays, write what you suggest.
Here's a fact, that I think gets at some of the points I'm trying to make. A few weeks ago, I went on a trip. Played 6 Top 100 courses in 4 days, one play each. Without studying my notes, looking at a yardage book, or pictures, I can't tell you the precise sequencing of all 18 holes on any of the courses. Now, mind you, all are Top 100 courses by at least one magazine (most by multiple, if not all of them). Are these courses not memorable and, therefore, not good? Of course not! They were all VERY good, if not great. I just played too many courses, too quickly, and don't have enough plays on them to fully have them ingrained in my brain forever. But when I look at my notes and photos, the courses come back to life for me.
Now...that's me. A full-fledged golf architecture nut. Who's read all the golf architecture books, reads this sight several days a week, and has friends who are the same. Imagine how a non-architecture geek sees golf courses.