Although the "rule" is that " illness at altitude is altitude illness until proven otherwise", I do not see enough evidence in that limited report to be sure of the diagnosis. Vomiting alone does not kill quickly unless, say, it is a manifestation of HACE, rare at that altitude to begin with. Above 8000 ft does at least fit with the threshold for altitude ilnesses, usually mild. An autopsy would be useful.

The most famous abdominal-symptom death at (extreme) altiude was the daughter of famous climber Willi unsoeld. He had named his daughter Nanda Devi after the mountain. When she was about 19 or so, she accompanied him to her namesake mountain and died there . There were medical clues in her case that suggested a bowel obstruction or other intraabdominal catastrophe that just coincidentally occurred on the mountain