The same people who hate the term whitewashing are the ones who flip out at Ghostbusters going female or the suggestion of a black James Bond.
Apart from those who don't. Like me, for example. You're assuming that everyone who disagrees with you has a position that is wrong, simple and hypocritical in order to rationalise your original assumption that people who disagree with you are wrong.
What I (and apparently many other people) dislike about the term "whitewashing" is that it's racist hypocrisy. Now
that's a postion that is wrong, simple and hypocritical.
If they had made
a Ghostbusters film in which the Ghostbusters were women, I wouldn't have cared. But that's not what they did. They remade the
same film specifically for the purpose of changing the sex of the characters and heavily promoted it on that basis. It was purely an appeal to sexism (the wrong sex is being erased and replaced with the right sex, so you should watch this film!), hypocrisy and lies about both what sexual equality is and about anyone who objected to this sexist, hypocritical film.
To help shine a light on the issue, imagine some people doing remakes of the Aliens films mainly for the purpose of making Ripley a man in order to appeal to men who are offended by a woman in the lead role. What would you think of them? What would you think about a society in which such a thing was widely praised and anyone objecting to it was derided as being a pathetic man-hater?
Of course people who like the sexism will say "that's different". The same prejudice is always different to people who like it. People who approve of prejudice against the group(s) they're prejudiced against will always disapprove of the same prejudice against the group(s) they favour and say it's different. Maybe even believe it's different.
As for Bond, it's irrelevant in any film set after 1962 because that's when the original Bond would have been forced to retire. If someone did a remake of an existing Bond film set before 1962 for the purpose of changing the "race" of Bond, I'd object to it for the same reason as Ghostbusters. If someone made a new Bond film set after the last Bond film and made Bond not "white", I wouldn't care. If someone made a Bond film set before 1962 and hired an actor who wasn't "white" and used make-up to make them look "white" for the role, I wouldn't care. If someone made a film set in any time about another 00x agent, I wouldn't care about any irrelevant details like sex or imaginary details like "race". I'd care if the film makers/marketers made a big deal about those irrelevant details, but not about the details themselves.
It's not about an actor's sex or "race". It's about sticking with the source material. It's about motives and marketing. It's about sexism and racism and hypocrisy.