Their claim is not falsifiable. They’ve taken PCAs of magnetic waves. They might be right about their part, but this is seriously misleading deflection to say they’re right and others are wrong. Climate models are difficult. Defining accuracy is difficult. Thing is, models that can explain thousands of years of historical climate isn’t relevant, because it’s a different problem than predicting climate now. It’s changing at an unprecedented rate.
You can set up a greenhouse effect experiment and verify that carbon increases the temperature from the sun yourself. We don’t know many things, such as how much CO2 the ocean absorbs, but it really doesn’t matter. We know the globe is getting warmer, CO2 causes atmospheric temperature increases, and that we’re dumping massive amounts of CO2 into the atmosphere.