MASH also had a Black character in the first season whose nickname was “Spearchucker Jones,” which is supposedly justified by him being a former javelin athlete (which strikes me as coming from the “Quiet has to be dressed in clubwear while doing Serious Military Stuff because she breathes through her skin!” school of poorly-justified writing choices). It also suffers from the conceit of Hawkeye being simultaneously the moral center of the show, and a shameless womanizer whose conquests only exist in the context of the show for as long as it takes him to bed them.
I love MASH for what it is, but there are aspects of it that are clearly of its era, which we wouldn’t repeat in modern television. I think you can either accept that society has moved on from where it was in the 70s and 80s, or you can be like Seinfeld and be mad that you’re no longer allowed to play sexism and racism for laughs with the perpetrator framed as the good guy.