Aristibule is correct. "The First Prayer Book, though bearing some traces of foreign influence, was, in fact, a revision of the old Service-books of the English Church…But the First English Book of Common Prayer was formed, not by a composition of new materials, but by a reverent, and on the whole conservative, handling of the earlier services, of which large portions were simply translated and retained." - A New History of the Book of Common Prayer, Frances Proctor
But, in reality, that's beside the point. The 1928 American Book of Common Prayer is not, and has never been, an approved text for use in Western Rite parishes. To be sure, certain elements have been adapted from the 1928 Prayer Book for use in Western Rite parishes (or, more correctly, from the earlier 1892 American Book of Common Prayer): the Daily Office, the Coverdale Psalter, and the (heavily) adapted Communion Service.
However, there are also huge chunks of the 1928 Prayer Book that would never be used in a Western Rite parish: the Calendar (which essentially contains some of the major feasts of Our Lord and only New Testament saints); the Anglican sacraments of Baptism, Confirmation, and Matrimony; the Anglican offices of Communion of the Sick or Burial of the Dead; the Ordinal; the Catechism; and (obviously) the Articles of Religion that you mentioned. Instead, these elements are replaced in the Western Rite with a much fuller Western calendar of feast days, earlier Roman forms of sacraments and services, the Byzantine services for Ordinations, and Orthodox catechisms for religious instruction.
As such, it would probably be more fair to describe the Western Rite, at least on a textual basis, as having been inspired, in part, by the 1928 Prayer Book, but that there are other significant portions of the Rite adapted from other, non-Prayer Book Western sources, most notably the old Roman Rite.