So what is the bridge comparing against when doing the bridge balance adjustment at step e. of the procedure? That seems crucial to resolving this problem...
The resistor that is the "reference" for all of the others is R312 and it's associated "trim" factory selected, and fixed, resistors R1045, R1046 and R1047. When the 1st decade switch is set to "0" , SW1B is connected to the ".1" tap of the resistor string and SW1C is connected to the "0" tap, most of which is inside the "OIL TANK" along with the various trim resistors on the outside of the tank. Observe that there is no variable trim resistor associated with R312. Once you set the "bridge balance" at decade A switch set to "0" then you adjust the other trim resistors R1001, 1005, 1009, 1013, 1018, 1021, 1025, 1029, 1033, 1037, and R1041 as well as those other as directed by the CAL procedure. To sum up R312 is the critical "reference" resistor. If this one is way off the others can't be set to match it's value.
In the schematic SW1B and SW1C is shown connected across the R1005, 1007, 1006, 1008 and RR302 series/parallel combination. This is when the decade A SW is set to "1.0". This makes it a little difficult to understand what is happening in my opinion.
The first thing I would do is get a list of the "mv" offsets from the "0" setting of each of the decade A switch settings from ".1" to "1.0. This can help you determine what is wrong. If the offsets are all "+" or all "-" in relation to the "0" position then R312 or associated resistors may have an issue?
Also observe that there is R203 in the upper right hand schematic of the BRIDGE DETECTOR circuit. This is to allow the BRIDGE BALANCE front panel control to be centered around R312. See section 4-25 of the manual "Bridge Calibration" procedure.
Report back if still confused.
Bill