I think that putting some sort of mid-sized blockage at the lagrange point, as posited in the article, would result in not a shadow, but an overall decrease in

I think that putting some sort of mid-sized blockage at the lagrange point, as posited in the article, would result in not a shadow, but an overall decrease in intensity (because of refraction, and similar to the measurable but slight decrease in brightness whenever an asteroid passed in front of the Sun). This would allow us to modulate exactly how many watts of sunlight hit us.