Not really, just mis-stated. I am not a friggin scientist.
If the flare was initiated by a iron cored sun, then their would be some evidence of iron someplace, somewhwere.
If, this theory is true then all suns must be similar and all solar systems would be iron based.
We just don't se any evidence of that, but what we do see is that hydrogen appears to be a major building block of stars.
We don't see iron as a sun core because it's gravity and mass as measured and known to us, do not reflect this fact.
I have never heard of this theory until now. It appears to be very unusual on it's face.
I will defer to the experts to blow holes in it.
One would think so. Maybe some of these X-class solar flares would have particles besides protons and electrons. Maybe an iron nucleus would come our way now and then. But, maybe 10 million degrees isn't hot enough to blast such a heavy nucleus off the core.
Correct. And you are also correct that we don't see this. Iron is the heaviest nucleus that can be made by normal fusion reactions; that's why it's interesting. Novae and supernovae are necessary to create heaver elements.