There are several faithful theories of the production of the Book of Abraham:
1. The papyri, including but not limited to the Breathing Permit of Hor, accompanying the mummy provided a trigger for revelation of the Book of Abraham quite independent of what the papyri themselves say;
2. The papyri that are presently extant have encoded within their language the Book of Abraham;
3. The papyri are incorrectly translated by modern scholarship; and
4. The extant papyri are fragmentary and badly damaged, and the portions upon which one would find the text of the Book of Abraham have been lost to fire [i.e., the Great Chicago Fire], flood, or mischance.
Does it appear most apologists go with #1? If not, which one?
I've recently heard another theory (similar to #1): that Joseph may have only thought he was translating but really was not.