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That's all OK, provided the small mass is on the surface of the big mass.
However, it is implied both masses are at some distance from each other.
If the big mass collapsed into smaller volume (increasing density), the field strength at the place where small mass is (was) is still the same.
Therefore, the energy required for small mass to be removed further (out of the g well) is still the same.
Unless the distance of the small mass changed.
But you said we are talking only about big mass density.. so I'm still not with you on this.
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