>no strategical impact by the actions of one player on the other
The players know if they're ahead or behind, which affects how much risk to take. Do you take the safe shot, or go for the tricky shot that could potentially save you a stroke if you get it right but could lose you more if you fail?
That's 100% true for match play. But for stroke play, interestingly, there are many tour pros that won't even look at the leaderboard on the coarse because they want to stay focused on "playing the course" and "within themselves."
No one at the business end of the leaderboard on Sunday is unaware of their position. It's very much a psychological game no matter how much you try and ignore the field.
The players know if they're ahead or behind, which affects how much risk to take. Do you take the safe shot, or go for the tricky shot that could potentially save you a stroke if you get it right but could lose you more if you fail?