You're correct about the typhoid, but I believe he was ill during the autumn of 1900.
Correct. According to Radzinsky's book:
'' In the autumn of 1900 in the Crimea Nicholas was dangerously ill. He had a typhoid, and he was dying. Already there was raised the question: who would inherit the throne? It was a strange question for Alix: of course, their eldest daughter, Olga...''
Strangely, the newspaper articles labeled that photo to have been taken in 1918 in Ipatiev House, probably because they wanted to make people sure that the Tsar was safe there.
EDIT: I can't tell for sure when the photo was taken, 1900 or 1901, if the recovery took several months, it could be possible that the photo was taken in 1901.