Doubt that's the case. The weight on it currently forced it deep enough into the sand. Just unloading half of it won't make it magically raise from the sands. The analogy here would be like saying pumping out Whale's stomach will make it possible to drag him back deep into the ocean.
Even though the vessel sits on sand, it still displaces a lot of water, which reduces the force of it sitting on the sand by a lot. Removing cargo, fuel, and dredging reduces it yet more.
Its most likely irrelevant. The reason why you see front so high up is because all the vessel's weight forced and smashed itself against the shallow water. At this point, rather than not the fuselage is damaged, and attempt to "ease up" the weight could only make it worse. I have been working enough around cargo vessels and at this size its never "oh he hit something, just put in reverse and you good to go". Similar if you ever get stabbed with a knife - hope never - but if you will, do not attempt to remove it on your own - you need to see a specialist who knows how to remove object it without causing internal bleeding, etc.
This vessel is most likely trash at this point. Time is of essence because tidal is pushing it against shallows and since its not perfectly centered it will eventually tip and with these amount of weight, not much tipping required for the whole thing to snawball. At this time they are figuring out how to quickly remove (save) as many containers as possible. Most likely will happen with another of these monsters to "park" close by and one by one will move the most expensive cargo first.
Another option I got from my buddy who is doing this stuff for life, is suggestion to dig up a whole big enough underneath to actually sunk the whole thing. This can be done in less than one week and is fastest most "stable" option. At this point they are not looking at saving this one vessel, but rather how to get the canal to operate again asap. You probably know it from driving on highway "move aside accident vehicles" is the most important thing to do.
