Information on the NT use of Hebrew apocryphal writings
http://www.jwstudies.com/God-breathed_Scriptures.pdf (pages 21-26)
http://www.jwstudies.com/Why_Does_WTS_Accept_Christendoms_Scriptures.pdf (page 46)
http://www.jwstudies.com/We_can_be_sure.pdf (page 8, 59, 60)
Thus these books were not rejected by the rest of Christianity. Look at the wide range of canons. Look at the differences between the LXX, MT, Symmachus, Theodotian, etc. or the arguments that rage about the differences between the Textus Receptus and Wetscott/Hort.
Or consider the fact that no one is or will ever be able to know what any writer originally wrote.
Or consider the fact that throughout the ages, people accidentally and deliberately amended the text to suit their current beliefs (as the WTS has done).
Doug