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"It is physically impossible to see the actual plate better if one moves back from the catcher. This is simple physics."
You appear to be missing half the equation in your physics. In the GD stance, the umpire moves back and up.
I used the GD stance for a season and had a great view of the plate, and as Carl stated, the dirt behind the plate. I switched back to heel-toe/heel-toe (actually heel-toe/heel-instep) after attending Evans' Desert Classic and feeling more comfortable with it. Nevertheless, I understand the propopents of the GD stance and can personally attest to the accuracy of their claims.
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GB
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