The sun, like all objects feeding on the energy produced in a weak interaction, is subject to parity effects and an asymmetric response to them in a strong magnetic field is not a surprise, but rather a nice confirmation between theory and observation. The surprise would be polar symmetry.
The real kicker would be a slight deviation in the kinematic trajectory of Ulysses, unexplained by classical Newtonian, Keplerian, or even GR effects, induced by an asymmetric neutrino flux...(so far all the solar neutrino measurements have been made pretty much in the plane of the solar system). A first rate theory predicts. If it isn't seen, it sorely weakens my modeling,(back to the drawing board).. but with modern timing devices being so accurate, I'll stick my neck in the guillotine....an unaccounted for trajectory or bust, and free ice cream to the first dozen takers.lol pete.
see;
http://scitation.aip.org/getabs/serv...cvips&gifs=yes
and see:
http://www.sciencedirect.com/science...96764dc75fd127