Actually, these "apocryphal" books were popular Jewish books of the Second Temple era translated by the Septuagint scribes for the benefit of Hellenized readers which included Jews of the Diaspora and Gentiles who were interested in Jewish religious thought.
These books, called "Deuterocanonicals" by the Roman Catholic Church, was not "added" by Catholics or Orthodox to the Bible. They are simply books (and additions to books, like Daniel and Esther) that appeared in the Alexandrian Septuagint library.
There was no such thing as a "canon" of Sacred Scriptures until a wayward bishop, Marcion of Sinope, tried to merge Gnosticism with Christianity in the second century. The Gnostics believed that salvific knowledge could come from the "chosen" if they read holy writings, believing that written texts could be a form of divine revelation. While Marcion's canon or "rule" of books included only an edited version of Luke and a few select epistles of Paul, his rejection of the Hebrew Bible landed him outside the church via formal excommunication.
Marcion's heresy was resilient, and so the church had to determine if his argument was valid. Accepting the Alexandrian Septuagint as the "given" canon of Hebrew Scriptures, it would take about three centuries more before the Christian canon would be settled.
There are no Arian ideas in the Deuterocanonicals as the latest, the Wisdom of Solomon, was composed around 100 CE. Hebrew versions of these books were found among the Qumran scrolls, and the official American Catholic Bible, the NABRE, is the first translation since the Septuagint to ever render directly from the Hebrew of these books.
There has been a movement in Judaism to reclaim these books. First and Second Maccabees, both of which are in the Catholic canon, are the only Jewish books that tell the origins of Chanukah. And Ben Sira or Sirach (Ecclesiasticus) was used as the ancient catechism of first century Christianity.
Again you will not find Arian ideas within it. The only considerable prophesy attributed to Jesus from the apocryphal books (and it is perhaps the best in the Old Testament) is found in Wisdom 2:12-20, but it does nothing to counter Trinitarian thought.
It is unlikely that JWs will ever consider these books as canon. The Jewish concept of praying for the dead is found in 2 Maccabees, and this counters JW teachings on death. Also, the best readings of the books are based on the Hebrew reconstruction used in the 2011 revision of the NABRE, which means that the Watchtower would have to follow the Catholic Church's scholarship in any attempt to provide a translation for JW use.