I think the route they were going in the movie was to make you think literally, he will be Iron Man, whereas the movie shows that they mean he will be the centerpoint of the Avengers franchise going forward. That he will be THE GUY.
The movie repeatedly shows him trying to be an Iron Man-lite and failing, but DOES show them building the future of the heroic "world" around him. But whenever Peter is Peter, he succeeds.
He is Fury's go to guy, he deals with an Avengers-level threat, he doesn't rely on the gadgets and AI's for the win. In the final battle, when all seems lost, he actually closes his eyes and relies only on his Spider-Sense. None of this is Iron Man stuff.