TEPaul,
Yes, but, all the features that you mentioned, can be found on angled greens too, hence they have a leg up on strategy and demands upon the golfer for incoming and recovery shots.
Matt Ward,
I agree, Winged Foot's greens are amongst the most difficult to recover to, especially if you miss it to the wrong side.
Joel Stewart,
If the pin is up on # 1 at Pine Valley, one can easily play short or to the center of the green and not be left with a difficult shot. If the pin is back, prudent play is to the middle of the green leaving one a medium to long putt, certainly not difficult shots that could result in big numbers.
One of the scariest pin positions is far, far right on the 7th at
NGLA. There is no easy way to play your third shot, unless you're lucky enough to be putting, and then, most likely, you'd have a very, very long putt. Even though you may have a ten yard to sixty yard shot, it is frightening, and an example of great architecture, and the excitement angled greens can create.
I'm curious as to why more angled greens aren't being built.