With the latex addition I can offer up a simple mathematical proof why McCutcheon can't be right.
First, under McCutcheon's theory gravity must be a constant force. It cannot vary with distance. This is because the apparent expansion doesn't change with distance.
So we have something like

the negative being because the force is attractive, the r is the unit vector in the radial direction.
Now we can define a potential energy for this force

Here r is the radial distance from the center.
Now we treat the total energy of one planet in orbit around the sun.

here v is the velocity as before, E is the energy, Cr is the potential derived before. m is the mass of the object.
Now, we can split up our velocity into components
Here vr is the velocity in the radial direction, vtheta the velocity in the tangential direction.
Now we use the fact that angular momentum is conserved in a central force

Here l is the angular momentum.
Hence,
Now, we can split the right terms off as the "effective potential"
This graph is shaped like a U blowing up to infinity at both the left and right of a single critical point. All objects are tightly bound.
Since our solar system has had objects escape it, this immediately rules out the final theory. As these effective potential graphs show, you can't have an "escape velocity" under McCutcheon.
-Will