If I may add something more, perhaps in line of what Mike was thinking when he stated ;
There well may be a place for both - you can play the way you like to play and other people who do like some sort of career progression with RPG elements can have their fun too. It would be my preference to play against people who I didn't know exactly how far their drive was going to carry - variety is the spice and no other sport supports as much variety as golf, why artificially limit that?
I like this idea, as I've stated above in how having Golfer attributes can make this work.
By having different Golfer Attributes, none of this will see the exact same shot from the tee or any part of the course. Putting may be something totally different, but the only usual benefit gained in watching another golfer putting, is seeing the break on a roll toward the cup. Knowing how hard to hit the putt isn't something that should become easier for the person closer to the hole, because you watched another golfer. On many golf games, we often gain benefits in this way seeing how to recreate the same shot from the previous golfer.
Perhaps a change from the above, still keeping in mind what Mike stated, is to remove the visuals of the shot details from other golfers. Maybe call it Tournament Mode, where no-one sees anything but the golfer swing and the result. No meters are displayed or power bars, therefore you may only gain a visual in how your opponent used a full swing or a three quarter.. but no specific marks on the swingometer.
I only wanted to add this extra comment to ensure those reading understood there may be many ways to introduce something they don't like, mainly because of the way they feel it's being introduced.