TBF but a parody of what? Sure it has a satirical look and exaggerates aspects of modern society, however we are trying to balance that against the book.

We could even say that the movie is taking shots at Heinlein’s own personal beliefs because arguably Heinlein’s personal politics paint him as a rabid anti-communist, pro-nuclear and -projection of force.

Personally I viewed the commercials and over the top stratified society based using a trope of a somewhat Roman or Spartan militaristic society, but it’s been a long, long time since I read the book to remember enough to actually compare Heinlein’s politics to the book and then the film to that book and modern society.