A) It's an excellent idealization of the appearance of the sun, and not intended as a dynamic model of the interior.
B) None of this has anything to do with the solar system being an OPEN system ! Talk about nit picking ! I was pointing out that IF the solar system were closed, it would be uniformly hot. Then you say, oh no, much hotter than that! and the solar surface would disappear ...
So how is this supposed to support your completely untenable assertion that the solar system is thermodynamically CLOSED ????