I think you misunderstand. I'm not against animations. The minimize animation in today's operating system is a perfect example of how animation can simplify the user experience (although I do think the OSX shrinking animation is a tad dramatic). But keep in mind, those animations are still short compared to the examples here. Whats more, the linked example uses the fly in animations for interactions without major context changes. Switching from pages in a document is hardly the same as switching applications.
In the Material design, animations are also intended to increase affordance by showing what areas are interactive, without requiring the extra chrome of everything having 3D borders.