I guarantee it's spicier than the original Starship Troopers book. Every time I try to remember a scene, I'm actually remembering Joe Haldeman's The Forever War. That said, I do love the Starship Troopers movie so take my opinions with the appropriate salt.

Because it's not really a typical satire, right? It's an example of a movie that a fascist society would make.

That was Verhoeven's idea, but the whole movie is overshadowed by what happened later in history. The US went and lived Starship Troopers. At the time it was made, America somewhat mirrored the pre-Asteroid section of the movie. War with the "bugs" was much like news media regarding Saddam Hussein, and there was the lingering question of military spending in the post-soviet world. Then 9/11 happened and fiction/satire became real. French became "Freedom" and arabs were talked about like bugs from the movie. Hell I'm watching footage from Isn'treal today that would fit happily in Starship Troopers propaganda inserts. However Starship Troopers is locked in that post-9/11 stasis (post- but before The Surge), so we never see what develops as the conflict plays out. The ending is a propaganda reel featuring the main characters, so the text of the movie would be how somebody would become a character in such a reel. This might leave you thirsty for some more material analysis.

In my mind this is where Haldeman's The Forever War shines; he goes through many of the Starship Troopers beats, but with some time dilation he paints a whole civilization's arc over the conflict right up to the conflict's conclusion.