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mrmoose I guess it might have something to do with the illusion of cinema. The director/ producer wants the audience to be invested in the belief that the character that's being portrayed is a real person as much as possible, that way all the emotions and struggles become more 'real'. That's difficult to do when they are drawing the audience's attention to the fact that there are 2 (sometimes more) people behind what you see.
There still needs to be a way that they get their recognition though, not just for the unfortunate injuries but for a job well done too if the stunt double wants it.