Nobody is disputing that these films were made with a television audience in mind. What we're all taking issue with is your asinine starting point:
The technical specs of the films you're questioning are exactly the same as or superior to theatrical films by the same directors.I question the authenticity of older TV shows in HD
They were shot - in Bergman's case with the assurance and in Fassbinder's case with the apparent hope - that the footage would be shown theatrically.
In the decades since their release, both films have been shown primarily as films, in theatrical contexts, not as television serials. The overwhelming (as far as I know, unanimous) critical consensus is that these works succeed as films, and benefit greatly from the enhanced visual dimension of film projection.
Both films are central works by major directors.
They were shot on film. 16mm and 35mm film have greater resolution than even HD can offer. HD can therefore offer a better representation of what the directors shot. This is not the case with television shot on videotape or SD. Your 'older TV shows' caveat suggests that you have some dim understanding of the difference between SD and HD when it comes to shooting modern TV shows, and understand that it would make sense to present a TV show shot in HD on an HD BluRay. Well, guess what: 35mm is even better than HD! Imagine that!
Hail and farewell!