I thought for a bit that the bolded part of this was an answer to my opacity objection, but I realize now that it is not. You're just stating something I, for one, already knew:
As you boost c, nucleon (and other particle) mass goes way, way down, but the strength of the gravitational force goes up correspondingly, the electron orbital radius of an atom is the same, and large-scale physical objects like someone named Adam in a garden named Eden do not shrink. Furthermore, the loss of density tends to be invisible--or that's supposed to be the idea, anyway--since everything gets less massive and less dense at the same time. Wood still floats on water and lead still sinks.
I'm really not trying to glide blithely past any important points by overlooking them. The red portion I take as your acknowledgement that, just as understood in current stellar physics, increasing the opacity of the solar medium will cause the Sun to expand in volume.
This was just a CYA post and may be ignored unless I'm wrong. Now I mean it, gotta go.