From what I understand, the kicker with Antarctica isn't that the sea ice is expanding, but that the land ice sheets are thinning comparatively quickly, and that isn't good news for anyone.
The one issue I really have with this level of doom-and-gloom is that it operates on the assumption that humanity won't be capable of actively counteracting climate change as the decades progress. I mean at some point, we're going to figure out effective large-scale artificial carbon sinks, or solar reflector systems, or the like. Will they be massive engineering feats that are, for the foreseeable future, prohibitively expensive? Of course. But that doesn't mean they won't happen.