Originally Posted by
GordonR_Cape
Meandering back to the original question, at the risk of going slightly off topic, this is a fascinating story on its own:
https://www.bbc.com/news/science-environment-47192952
The time-frames are about the same (1915 vs 1900), but the required degree of navigational accuracy in polar exploration is much more than a passenger steamer of the same era. It probably still doesn't come close to the implied accuracy for the original story.
From a practical point of view, as far as they could prove that's the position they were in, so they could claim they were simultaneously in those time zones. At the same time no one can prove they weren't there!
Of course if they were that convinced they should have kept the sighting so others could check their workings...