I have always wondered why some people reduce the Part_B to be less than the Part_A, I suppose less accelerating alkali leads to lower activity leading to longer contact with the tanning agent in Part_A.
To my understanding, reducing the proportion of Part B is primarily done for the purposes of: 1) allowing for longer development times, which theoretically contribute to higher acutance; and 2) reducing the amount of non-image (i.e., overall) stain.
In Pyrocat-HD, Part A contains the developing agents (primarily pyrocatechin and phenidone, plus some sodium metabisulfite and potassium bromide thrown in as preservatives, etc.) while Part B contains the activator (potassium carbonate). It's primarily the pyrocatechin and phenidone in Part A that control the
intensity of development (i.e., the intensity of reduction of silver halide and the formation of image-specific stain). By comparison, Part B primarily controls the
speed at which Part A works. Part B is also what contributes to the production of non-image (i.e., overall) stain. The two parts work synergistically, of course -- so, for example, Part B also contributes somewhat to the intensity of development alongside Part A -- but its role in that regard is secondary.
The reason users often use a reduced amount of Part B is to reduce the amount of overall stain. Since this stain doesn't generally contain useful information, it can be a bit of a nuisance, depending on your end use.
Choosing how to adjust the proportions of Parts A and B depends on what problem(s) one is trying to solve. My simplistic rules-of-thumb are:
a) If your negatives are thin and/or flat, and increasing development time isn't an option for you (e.g., because you're worried about getting too much base stain), increase the proportion of Part A.
b) If you're happy with contrast and density but want faster development times, increase the proportion of Part B (with the caveat that you'll likely get increased base stain as an unintended consequence).
c) If you're happy with contrast and density but want less overall stain, reduce Part B (with the caveat that you may need to increase development time to compensate for the loss of activity in Part A).
It's also important to keep in mind that their needs to be sufficient Part A in the tank to adequately reduce the amount of silver halide present in the exposed image. Increasing Part B and/or extending the development time can't, by themselves, compensate for inadequate Part A. As I recall, Sandy King recommended at least 3 mL of Part A per sheet of 8x10 (and the same for one roll of 135-36 or 120).