One death per five hundred infected. Four deaths would mean roughly 2K infected doctors. There are 3.5 million doctors in China; 2K is approx 0.05% of them. Or roughly 1 death per million. That's definitely not "so common" in my book.
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https://en.wikipedia.org/wiki/Micromort would imply that "being a doctor in China since Covid broke out" is about as dangerous as a day and a half of skiing. Assume 90% media blackout, still only about as dangerous as a scuba dive. tl;dr: People are bad at statistics, and worse when scared.
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