Saw this posted the other day, and it seems like a potential way to offset some of the ice melt:
The article does say it could potentially increase total water evaporation by up to 6% though, and that could be useful.
It would do tons for the local ecosystem, though. That evaporated water would fall as rain across eastern Egypt and the Middle East.
Not to mention of course the truly incredible amount of hydropower.
100% I think the main benefit of this project would be to restore some ecology & create power. There may be some small benefit to the earth as a whole too, but it seems silly to make this effort for somewhat enhanced evaporation.