Andy...
You won't get either one after one play. You'll be filled with questions, but have no real answers. You'll know the Doak is good, but
You'll not be able to fully understand how great it is.
Pick almost an hole on Doak...say 12. Depending on the wind and playing ability, the play might be driver right at the pin, 3 wood right of the skull, or 6 iron to the top of the ridge. With one play, you'll never understand those options and which one works for you.
Take 6, down wind you might drive the green. Into the wind, you might hit way right with 4 iron.
Lots of holes like this...4 (all time great hole), 6, 9, 12, 14, 15, 17, 18.
One play no one can understand how to play it optimally. If you are architecturally astute, you'll see the decisions that need to be made but you'll have no idea which ones are right for you.
If people want to pooh pooh that...whatever. It's your life. Enjoy your point of view.