NavList:

Eric:

When the NA says "the table includes factors X, Y and Z" it's simply saying you don't need to worry about any separate corrections for X, Y and Z.  Bennett pubished a paper in 1985 that mentions correspondence with Yallop of the HMNAO on the construction of the moon correction tables.  The formula Bennett quotes corrects for refraction at the limb, and then subsequently computes parallax at the limb before adding the geocentric SD.

https://doi.org/10.1017/S0373463300038200

(Between this and some other papers I've seen, I'm left with the impression that it was Yallop's idea.)

There's an old joke that there are three ways to do any task:  the right way, the wrong way, and the Navy Way.  The Navy Way is not quite right, not quite wrong, and the reasoning behind it is "Because I said so, sailor!"  A lot of these books and tables are aimed at practitioners of the Navy Way.  The Navy Way can be seen in action in the examples on page 259 in the NA, where the raw sextant reading is used as the entering argument for all tables.  Stepwise corrections to the measured altitude (and trying to interpolate the correction tables) are "refinements" that are "rarely necessary."  Refinements are for landlubber civilians.