Scientists hypothesize in our day that the Sun is powered by thermonuclear fusion whereas all the evidence and observation now shows that it is blatantly electrical in nature and that it is powered from without not from within. Now when that rattles the cage of the the 'hundredth monkey' nobody is going to be spending time discussing plastic bags or carbon pinkieprints.
I don't think the nature of what the Sun does, will change significantly just because we change our understanding of what it does.
So the impact of having a different understanding of the Sun is not likely to change anyones behaviour or change their worry priorities unless they work in that field.