Perhaps I am missing something here, but should a golfer wish to experience a round without any yardage measurement of any sort, what is stopping them?
Play a round with and without it, Pat, then please report back on your findings.
Back in the late 90's at the Valley Club, there were no yardages to speak of on the course.
There were, however, known yardages from ceratin trees and some were marked on the card.
Where this is most apparent, to me, is when there is an "infinity green". With a radar gun, I find my yardgae, pick a club and proceed.
Without such certainty, my mind is a bit grayer and questions the distance and that can yield a shot executed with less conviction.