The worlds highest capacity heavy lift helicopter can lift 44k lbs (russian M-26, estimated to be 20 in working condition). An empty 40 ft. container weighs 9k lbs. With a max loading of 66k lbs gross. The Ever Given has a capacity of 20k TEU, or 10k 40 ft. containers.
Being generous, you could move maybe 5 per hour. Probably 1 per hour would be realistic. But give them the benefit of the doubt and say they could move 20 per hour for some reason, including fuel and maintenance stops.
So assuming that they could work 24 hours per day, they could do 480 containers per day (again assuming that all of the containers are 22k lbs lighter than capacity). They should be able to get this helicopter unloading done in 20 days of around the clock work with a bunch of highly optimistic assumptions.
Plus they have to stay out of the way of the dozens of salvage workers trying to move the actual ship, while operating a soviet era machine in a VERY harsh desert environment with no infrastructure.
If they need the ship to float higher, they would start by removing ballast, fuel, crew water, etc.
Large salvage operations are notoriously expensive, tricky, dangerous, and often don't make sense to outsiders. There's a reason that there's really only about half a dozen firms worldwide that have the expertise and equipment to pull something like this off.