And yes, that influence is powerful, we can all point to examples of it's direct influence, especially in portrayals of other famous fascinst and perhaps it really shouldn't be. This wasn't what the Nazis were.
How much of this was staged? All of it was, of course. Some of it by Riefenstahl, based on how she thought best to portray Hitler and the people and the crowds,... mostly however, she seems to be simply documenting events that these thousands of people must’ve been working on for months in advance, she's just, filming it well enough that it’s arguable that she’s making it look pretty, something that she can do because the Nazi Party is funding her. Events that were planned by the Nazis, in order to glorify themselves.