Zwally's paper has been challenged on several grounds, the key ones are the recent snow fall is far less dense than the compressed old ice underneath which is what is being melted around the edges.
Since that paper research has also picked up the massive undersea melt of the great ocean terminating glaciers in both East and West Antarctica, these can be a thousand feet or more deep to the ocean floor and the Channels/Fjiords can extend hundreds of miles inland. As the ice support melts underneath mecxhanical strength supports it for a time then starts sagging, this shows up on the surface as chevrons travelling back up the Glacier. That ocean terminating ice that melts actually results in 1/6 less volume as water, thus lowering sea level, until the supported ice drops.
Just One glacier in East Antarctica they measure the melt water volume flowing out as equivalent to 6 Amazon Rivers - that is some ice melt due to warmer Southern Ocean
