Can't be that simple. There have been multiple teams now, if they came from say 4 orthogonal directions that would already push this point out multiple hundred km. Even if they all took the same route, there is now the "Amundsen-Scott Station" there, directly on the south pole, with regular flights. Even tourist flights.
Surely those flights have taken various routes to the station and covered antarctica in a fairly dense mesh of lines of longitude.
Edit:
Rough numbers: according to wikipedia "Between October and February, there are several flights per week of U.S. Air Force [...]". So let's call that 50 flights a year for 40 years, 2000 flights.
Now, if those had all flown fanned out, which realistically ofc they wouldn't have, that would put them only 3km apart even at the coastline 1000km from the south pole.
Also a different note, surely there must have been various surveys flown all across antarctica.
