Dan,
I don't see how "fairness" is altered by the type of game played-medal or match, or whatever one can make up for the fun of it. Play the ball as it lies--either way.
And aren't you keeping score in any event? Why is competing against oneself worse than competing against an opponent? Why is comparing one's scores such a bad thing really? Match play is still a game in which players keep score. Each match is just 18 one hole versions of medal play rounds.
You asked if just having the scorecard will hurt one's appreciation for good golf courses. Maybe for some. But maybe those players don't pay attention to the architecture anyway. For me, the answer is easily no. I'd guess for Hale Irwin, who makes his living keeping score, the answer would be no. But that is just a guess. I couldn't know for sure. Then there's Ben Crenshaw...
But here's maybe a really dumb question: what exactly is a "card and pencil" golfer? Do you have a specific definition in mind? Is it anyone who pays attention to their score? If I watch my partner play a hole really well and exclaim, "Nice birdie" instead of "Nice hole" am I a "card and pencil" golfer? Or do I have to actually write down my score? What if I keep score in my mind as I play the hole?
And what about the hole itself? Why does it get all the attention? For example, why don't we play a golf hole strictly speaking to simply stay in the fairway? Take as many shots as we need, say hit seven irons off the tee so as to keep it in the fairway and call the hole a success regardless of how many shots it takes to get the ball in the hole. Or maybe we decide that not hitting into any bunkers will deem the hole a success.
Don't we set golfers up to keep an eye on their score just by playing a game the object of which is to get the ball in the hole in as few shots as possible? Isn't that the real culprit here--that the object of the game (getting the ball in the hole) is misguided? Maybe the game shouldn't have the desired goal to be that of getting the ball into the hole. Maybe the game should be about defining architectural features in between golf shots to greens in which there may or may not be an actual hole cut. Some holes have cups so that we can occasionally putt for the fun of it. Some do not so that we cannot keep score even if we want to.
You know, in match play one can concede the hole at any point and for any reason. There are all kinds of options that remove even a hint of scorekeeping. Longest drive wins the hole. Best bump and run wins the hole. Closest to the back left bunker wins the hole. Furthest from the pin (avoid the dreaded hole!) wins the hole. None of these are in the rule book, but the rule book is about keeping score anyway.
I don't know. The object of focus changes, but it seems like maybe it's still about keeping score any way you cut it. That's the definition of a "match" is it not? A "match" is not about writing a golf architecture essay.
I will say that golfers who have a lousy time on the golf course because they aren't scoring well or winning their match are probably missing out on some of the other joys of the game. But they have a right to approach the game any way they like. Hopefully they are not totally wasting their time.