Those results are interpretations of the data and the Plasma Model does not rely on those hypothetical neutrino changes whatsoever.
Can the plasma model derive the neutrino flux? (I mean the quantitative value, not merely its existance)
You said it right there. The sun is a plasma. Only a plasma model can account for the distribution of angular momentum.
If you figure this one out in quantitative detail then you are one step beyond the standard model.
Astronomers know the sun is a plasma. They just reject the absurd hypothesis that plasma dynamics are the source of all of the sun's properties.
According to the model it is electro-static repulsion of the internal structure of the atoms. The problem is how the standard model can claim that gravity (which is ~35 orders of magnitude weaker than electromagnetism) can overcome the electrostatic repulsion whatsoever.
10^35 times zero is still zero. Don't forget that there's just as much electrostatic attraction as there is repulsion.