I've realised that the most likely place for a toroidal inner core is the Sun. This NASA article shows the potential of the idea, I believe; http://science.nasa.gov/headlines/y2008/02oct_oblatesun.htm. I still think that the Earth's newly found innermost inner core maybe of some original neutron material and of super-high density.Good pick...
You really made your point.
And of course, there's NO OTHER explanation for the oblateness at all is there?
I also think that considering the Sun to be a point mass via Newton could be an oversimplification. The 'neutronium' inner core's asymmetric shape could be highly important in it's gravitational field.