>>214738914
Strangely, no. We both have the same status: we have many relevant bases, we have both signed the treaty, neither of us has an official claim, but we have both reserved our right to make one in the future.
The claims are an outgrowth of 19th century colonialism, which gradually gave way to 20th century wartime considerations. By the time of the treaty, the main idea was to avoid nuclear war on the continent, which would probably be very bad for everybody. In principle, sort of like outer space, it's a special hostile environment for peaceful exploration, but of course the minute anyone discovers anything really valuable in either place (oil, diamonds etc) that's all out the door. The antarctic and various space treaties tacitly assume that both places really have low value for humans, which may not be true.