Everybody knows that Wuhan is where it came from, and that it's been the hardest hit. My understanding is that what they're concerned about is long-lasting associations. 100 years later we're still calling the 1918 thing the "Spanish Flu"; I'd be willing to bet tourism to Spain dropped significantly in the decade that followed that epidemic.
Could you name the place where SARS originated? I can't; and even if I could it wouldn't be a strong correlation in my mind. That's what we want 10 years from now -- for people planning travel itineraries to associate Wuhan with a the actual city and surroundings, not with a disaster that happened a decade in the past.
This isn't "bleeding heart policies"; it's just simple Golden-rule consideration, based on a century of experience.