This doesnt sound accurate. I have trekked the Himalayas for over a decade - the risks of AMS are very real. Two people I have trekked with have died due to AMS on separate himalayan treks - both had trekked multiple times before, and were well aware of the risks. Both the fatalities were around 12000-14000 feet - much below the Everest Base Camp trek. When AMS hits, you need to descend - as fast as possible, with whatever means you have at your disposal. Otherwise you have unknowingly entered a Russian Roulette.
And Diamox is used as a preventative course for AMS - alongside excessive water intake - this is standard guidelines in all high altitude himalayan treks.