A Change in Earth's Gravity?

Please can you explain your thinking, as you seem to be disputing what i understand to be supported by maths and physics?
As far as I can recall, for a given mass, the density of a sphere defines its physical radius, but the gravitational force at a point above this radius is irrespective of density and solely a function of mass (GM/r^2 etc).
So what am I / are we missing?
Please explain / support your ridicule.

 

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