Erik,
I stand corrected on straddling the line of play from off the putting green; that is a 2019 change and I missed it. But that it only took half a century for the rule to be standardized is instructive, I think. I will give the rule making bodies credit for getting it right; I'll hang onto the example because of the time lag of 50 years that it took them to do it, plus the motivation for the straddling rule in the first place. (And whether or not it is an efficient way to make a stroke from off of the green isn't the point, is it?)
Here's an example of how the issue of a ball presumed to be possibly lost is treated differently in the Rules:
Players A and B are playing a course that neither is familiar with, and are teeing off on a hole with a blind landing area, with red penalty area stakes down the left side and white OB stakes down the right side. Player A pulls his tee shot left, possibly into the penalty area. Player B pushes his tee shot right, possibly OB, announces that he will play a provisional ball, and does so. Neither player was able to see his ball land or come to rest. Both, obviously, have hit poor shots.
The players move forward, and they reach the area where they agree that Player A's ball is likely to have entered the penalty area, but they are unable to find the ball, either in or out of the penalty area. Player A then drops a ball outside the margin of the penalty area under the Rules, and plays a stroke with that ball. Moving to the area where they believe Player B's original ball to have been, they are again unable to find the original ball, and Player B proceeds to his provisional ball and plays another shot with that ball.
The two players then walk forward, and BOTH find their original balls that they hit from the tee. Both balls are in bounds, and well forward of where each player AND his fellow competitor believed his original ball to have been AND from where each had played a second ball. Two bad tee shots, two second balls played, two original balls found ahead of where the second ball had been played from, so the two players should be in the same situation, right? That would be "fair", and, more to the point, SIMPLE, no?
The punchline, of course, is that Player B can now play the original ball without penalty, and pick up the provisional, while Player A is hosed, at least relative to Player A. I understand full well, and agree with, the guiding principle that a player should never be able to choose between two balls, but that doesn't present a problem here if you simply treat the two original balls EXACTLY the same. This is just needless complexity, with no real point.
I know of nothing similar in any other sport that I've ever played or watched.