Do you actually believe they would do that? Do you actually believe they could do that? Think of the geometry. If you want to put a shield up, it can't orbit the Earth. It has to remain in place with respect to the Sun Earth radial. That allows only one possibility: LaGrange point 1, a point on the Sun-Earth line 932,000 miles (about 1/100th the Earth-Sun distance) from Earth. A disk at L1 that would block all the sun's light to the Earth would have to be roughly 16,500 miles in diameter with an area of 213,824,650 square miles. At 25 grams/square meter, that would mass 5,345.6 metric tons, that would require 54 Starship flights and whatever it took to assemble and position the whole thing. And you think they would do all that BEFORE suddenly realizing that turning the sun black might have negative consequences?
It's not them that's the idiots.