[longshadow]

It's not clear to me that an anisotropic G would lead to any anisotropy in the distribution of matter.

My thinking was that if the initial condition were an isotropic matter distribution AND an anisotropy for the gravitational constant, then one would expect over time that matter would preferentially cluster around the direction of maximum "G" value, thus resulting in a matter distribution anisotropy.

[Physicist]

that matter would preferentially cluster around the direction of maximum "G" value

I'm having trouble visualizing that.

[apochromat]

It would be flattened along the strongest axis, barring any interference to that.

[apochromat]

"Flattened" like a tangerine has a short axis compared to an orange.