I think general statements of Aspergers seeing the world differently without specifying how have very little value. As humans we don't see reality as it is, but only our subjective version, which will be different for every individual on earth.

Those with a diagnosis of Asperger's will be statistically significantly less accurate than neurotypicals in their inference of others' subjective view of reality. Irony and sarcasm would be examples where neurotypical subjective interpretation diverts from what has really been said, with neurotypicals tending to blame the Aspie for resulting misunderstandings.