Is it possible you're mixing apples & oranges? The July 1977 ASW 20 handbook Flight manual p.18 lists a firm *in flight* cg range of 240 mm (9.45'

to 360 mm (14.17'

aft of datum, with the datum being the leading edge of the wing at the wing root rib, excluding the fillet of the wing/fuselage fairing.
Assuming similar wording in the '19 & '28 manuals, I think you're confusing this with a table shown elsewhere in the manual, entitled 'Empty Weight c of g positions and limits.' Here, it does appear the minimum cockpit load increases (and aft cg shifts forward) at higher weights. Please note, however, that the x axis represent the EMPTY CG and the Y axis represents EMPTY weight.
Per wording in the '20 manual at p. 30a, this table is to be used when tail ballast requires a re-calculation of the minimum cockpit load. This re-calculation is needed because the *flight* cg must be within the *flight* limits.
Clear as mud, huh?