But do angles of all varieties matter when it comes to recognizing a good design?
Well, good design is entirely a matter of opinion.
Conventional wisdom on the topic has always been that angles are important, and they do create the "line of charm" that was discussed here many years ago. I used this quote from George Thomas in my first book:
"The spirit of golf is to dare a hazard, and by negotiating it reap a reward, while he who fears or declines the issue of the carry, has a longer or harder shot for his second; yet the player who avoids the unwise effort gains advantage over one who tries for more than in him lies, or who fails under the test."
Today it appears that most of that is moot as far as good players go. They know the carry and almost never take one on they aren't sure of making. And even if they avoid it, they don't gain much advantage from having a better line for the second shot!
But maintaining the spirit of golf is still probably the most important goal for architects. Without it, the game will be reduced to checkers or darts, and then banished as an enormous waste of resources.