It is this ability to compare your performance as purely as possible to anyone you want, including the best in the world. Time tells you where you're at.
With other sports like soccer, tennis, basketball... you're quite limited to know where you're really standing compared to others you're not playing with.
In essence with other sports you are limited, among many other things, by the quality of your opponents whereas in running a simple watch tells you exactly where you're at. And I think that's quite beautiful.