You can't have the last word and forbid everyone else from discussing it.
I agree with Thork. Poor form ole chap. Open a thread in the Lounge to deal with the egg on your face.
Let's get back to normal, but lesser, gravity on a finite FE, or even the constant g of the Davis (infinite plane) model.
We already did. It's in CN. Pongo did it for me (thanks, Pongo).
Yes, let's. Do you have any more issues with this phenomenon for me to keep in mind as I perform my calculations?
Oh, there are a dozen more. But the next problem you face is insurmountable--calculating the direction of the force vector from normal gravity, without integral calculus.
If you want to see your error quickly and avoid having to learn integral calculus today, try this logic.
1) Using the laws of symmetry, reduce the problem to just two dimensions (south-north-south coincident with the Prime Meridian and up-down (as in up to the sky and down through the Earth)

2) Note that the north-south forces of the yellow boxes cancel each other. They are symmetric and equal. The up-down forces do not cancel, but do add.
3) Note that blue box has no cancelling box, so it's pull on the gravimeter will be to the North.
4) Note that the effect increases as the gravimeter is farther south.
5) Note that we can measure 'g' to great precision with just table-top pendulums.