How famous or well-known in the mainstream was Tina pre-"Private Dancer"?
Some of the articles that I've gleaned seems to suggest that she wasn't an out and out pop "superstar" until 1984:
https://www.smoothradio.com/artists/tina-turner/comeback-private-dancer-1984-album/
https://www.billboard.com/music/music-news/tina-turner-billboard-interview-1984-on-cusp-of-her-comeback-1235339731/
https://www.rollingstone.com/music/music-features/tina-turner-tribute-comeback-private-dancer-1234741639/