Not exactly. I agree the term is racist, and that racist sentiment may way spur disinformation on MSG. But the fear actually began in 1968, during the beginnings of the modern 'health food' movement, with a letter written in the New England Journal of Medicine by a man named Robert Ho Man Kwok describing his supposed symptoms from eating MSG. The body of follow up research showing no such effects is much less interesting to people than the scary story that started it all.
MSG should be used as sparingly as possible (a pinch or less) and there are many kinds for specific ingredients, such as the original one made by Ajinomoto and more specialized ones for meats or vegetables only.
[0] https://news.colgate.edu/magazine/2019/02/06/the-strange-cas...