The new analysis has NOT firmly put the notion to rest. The "new" analysis only focuses on the Sun's magnetic field activity. There is more to the Sun's role in global warming that just magnetic field activity, plus even that has a range of physical reactions. Plus there is scientific evidence that the Sun has gotten a bit hotter this current solar cycle. It is a multidimensional phenomenon that requires systems analysis to sort out, IMO.
Hey! Don't try to confuse us with the FACTS, ole! ;-)
Yes, what weighting to give the various factors? If the best thing we have to answer the question is mere conjecture, then we are as well off saying we just plain don’t know. Otherwise we might as well BE professional astrologers, spending our whole lives repeating the horoscopes of the last twelve people we met.
The fact that they're hanging their entire theory on a proxy indicator of insolation, and not on insolation itself - that doesn't worry me. You see, these Climate Scientists are making a better world.