Do you prefer the cover of a book with a popular adaptation to have a cover that heavily reflects the adaptation?

Personally, I dislike it when I see a cover for a book that’s long turned into a popular movie, TV show, etc, and it now looks more like an ad for the TV show. I know why this is done, don’t get me wrong. Brand synergy is good for sales. But it just makes the book feel, I dunno, like a sanitized commercial product rather than a product of an author’s imagination.

Note that I’m not talking about a copy of a book now having something on the back that says “Now a popular Hollywood blockbuster!”. I mean picking up a copy of a book from A Song of Ice and Fire and seeing the Game of Thrones’ show’s logo with Kit Harrington and Peter Dinklage staring back at me. It feels like the book is an adaptation of the show/movie/whatever, not the other way around.

It’s hard to really put into words, but does anyone get what I’m saying? What do you guys think?