You can call them unicorn influences, but that doesn’t make them any less real. Literally hundreds of paleoclimatologists swear by their evidence that solar variability has a very important effect on climate. This is ignored because we have had over two hundred years when most of the time solar activity has been above average, so we have little experience with low solar activity and none with modern instrumentation.
Ignoring such important unicorn means that any conclusion we obtain is wrong. There is no other way around it. You can’t calculate climate sensitivity without properly accounting for every important forcing.
The sad thing is that all the time and effort that has gone into making those models and over 35 years of research into climate sensitivity has been wasted. All because we refuse to research the role of solar variability on climate change because we refuse to go beyond the meme: “It is only 0.1% of TSI.”
Clearly nature doesn’t care.