I don't have specific movie examples, but the narrow depth of field of a zoom lens would certainly require careful cinematographic considerations. It would be hard to compose a shot that has a typical foreground and background, without accepting that the background might be massively blurred. But I can sort-of see the appeal of having things chronically out-of-focus, as a way of hiding "obvious" details from the audience, until the focus changes and makes the big reveal.
Maybe such a film would be trying to artistically emulate human "tunnel vision", where depth perception is severely reduced.