Yeah, Hitler named his personal guard after the ww1 elite shock troops trained to storm machine gun nests. Hence, Stormtrooper.
Stormtroopers when applied to the Imp army work like Infantry, and in trench warfare (like in Solo) after their ww1 counter parts.
Stormtroopers when applied to the Imp Navy work like US Marines and Persian Immortals.
Stormtroopers when applied to Vader work like the ww2 body gaurds.
The fact that Nazis idolized the Tuetonic Crusaders...I wonder if that had anything to do with the Stormies' armored appearance.