So, to summarize, I understand you to be saying your model may be correct because our understanding of the relation of mass to gravitational acceleration may be misunderstood, which is another way of saying a gram might not be a gram.

This is quite far fetched, possibly more so than your conjecture of a solid surfaced sun.

Pending definition of the proper understanding of mass (in your hypothesis) and gravitation, actually an entire redefinition of GR and QM, I don't currently feel that further discussion will be fruitful.

When you have redefined in full the GR and QM understanding of the universe I will continue my critique.