It doesn't matter how fast he moves, if you can time your swings in a way that he runs into them as he moves closer to hit you, you will still prevail.
Yes, good timing and range control are important aspects in fighting but still how do those make high athletics less important?
(dodging missiles, choosing fights, prevent surrounds by multiple enemies, etc.)
I fail to see how that's relevant, but I suppose. Though, at some point he will have to move closer to connect hits. Also, I doubt people would enjoy fighting someone like that.
It's relevant in that case when two equal "range controler" fight each other, one has high athletics one does not.
The one with high athletics will be more in control when to strike as the other especially if he has the longer weapon.
He also can bring himself in the right position more quickly to let his strike hit earlier as you already mentioned.