I don't think this is true. Putting my face near the ground doesn't make it any harder for me to see distant objects. Can you explain why you think it would?
Well no, Tradman has got a point. There's an angle of resolution, if you look at a far away object which is relatively flat, it will be harder to make out with increasing distance. There's a point where you won't see it from a low angle of resolution, but will see it from a high angle.
I made a little demo for how the field of view changes with height. The ball is the viewer, the red object is being looked at. You're exposed to much more of the object when you get higher.
However, this does not prove the Earth is flat. It was just about angle of resolution. If you take a telescope, your angle of resolution will not be a problem anymore. And in practice you don't see across the complete Earth, because the far away parts of the world are
always disappearing below the horizon. You can't see the skyscrapers of Manhattan from, say, Lisbon, across the Atlantic in Europe, with a telescope that can resolve details of far away celestial bodies. That makes you think

