I checked the power supply using the service manual posted by singapol at http://cp.literature.agilent.com/litweb/pdf/54510-90903.pdf .
Using page 6-21 (page 111 of the PDF) I did the first test "Supply Loaded". The test point that is supposed to be -12V is around -9V. The others are ok (except when the unit reboots on it's own, the power drops and comes back up again to the correct value). Is that test alone enough to know the power supply if faulty or do I need to do the "Supply isolated" test also. I guess I need to do it but since I don't have a 2-ohms 25 watt resistor I figured I'll ask first.
I also checked the solder joints and caps and nothing seems wrong. I will check more thoroughly if the problem is not with the power supply.
You have already found a -12V descrepancy, unplug W1 to main assembly ( mains power switch off) turn on power switch and check -12V again. Now that it's unloaded it should measure -12V or higher. If it's still -9V the problem is in the switchmode supply.
singapol has hit the nail on the head----if everything is OK except for -12volts,that is where your problem is.
If the linked "reverse engineered" schematic is correct,it isn't one of those SMPS that won't work without a load.
Indeed,you have already disconnected it,& shown that is so,so don't get yourself off on a tangent.
ignore all the rest of the device except the -12volt supply .
This is quite a simple circuit,consisting of CR25,a flter capacitor,& the regulator,A8.
In a switchmode,CR25 is probably a "fast-recovery" type,& the cap should be low ESR.
If the cap dries out,the output of the circuit can look like a series of pulses,with low total energy.
A DMM will often see this as a lower value of dc,as some of them don't know the difference.
Sometimes "fast recovery" diodes go "a bit funny" & lose their normal characteristics,so need replacement.
Other times,you will find someone has been there before you,& has fitted an ordinary power diode without the correct characteristics.