You mean according to some of the sources Google found. If you read more carefully you will find that the basis of this claim is the Old World sparrows are closely related to weaver finches while the New World sparrows are not.
However, it seems clear to me that the term "sparrow" was originally applied to the Old World group (which is why they are also called "true sparrows"). So it would be more accurate to say that the New World sparrows aren't really sparrows.