When I think of the deleted scenes from Avengers - the ones where the dead civilians and the killing of civilians were shown - that comparison...well. The shawarma scene had the Avengers all looking dead-tired at that dinner table for reasons.
Heck, originally, the film was supposed to start with the aftermath of the battle in New York, with officials wanting to see Nick Fury's head roll. Just like in the real world, the Avengers weren't considered heroes, they were blamed for the destruction. And the deleted scenes show a lot of the civilian's perspectives of the battle. So from Joss Whedon's point of view, it was ALL about the disaster and how the world dealt with it. So Snyder's remark is pretty much ill-informed.