So, after long debugging session with A6 - HP-IB and Control board I changed all electrolytic caps and one tantalum toghether with sus regulator. Then I applied 5VDC from linear PSU. In idle state this assembly was drawing approx. 750mA @ 5VDC. Attached thermal images for interested.
After that I connected everything, following service procedures. Unit came to live, was displaying 1MHz (I think, didn't pay attention then) and after 10 min, nothing blew up or died. I noticed some missing lights on panel buttons, so I thought that would be next.
Before progressing further I changed Q1, Q2 and Q3 on power supply PCB as follows:
Q1 - TIP36CW (
https://www.mouser.co.uk/ProductDetail/onsemi/TIP36AG?qs=xZq1yRCsb1fF63jvF9TIew%3D%3D)
Q2 - TIP41AG (
https://www.mouser.co.uk/ProductDetail/onsemi/TIP41AG?qs=xZq1yRCsb1eIo%2FaUEqzl0w%3D%3D)
Q3 - TIP42AG - I thought why not, it's complementary to TIP41 (
https://www.mouser.co.uk/ProductDetail/onsemi/TIP42AG?qs=xZq1yRCsb1egVgVfgh8sgQ%3D%3D)
Done some capacitor replacement: C5, C8, C7, C14, C16, C17, C18. Also, I added some wires with spade terminals, as soldering and de-soldering filter wires and et al, was fun till 4th time.
When I wanted to test everything, no load and so on, to see if it's all in order, well....
Let's say, that this week was disappointing. Now I have, like it seems, fully unregulated voltage on regulated rails.
Measurements in reference to ground, PCB mounted in unit, no load, P5-5 and P5-10 shorted (connector P5 from service manual):
====== Q1 (+5V) ======
Base (Pin 1) = 10.44V
Collector (Pin 2) = 7.75V
Emitter (Pin 3) = 11.04V
====== Q2 (-15V) ======
Base (Pin 1) = -23.87V
Collector (Pin 2) = -23.22V
Emitter (Pin 3) = -25.20V
====== Q3 (+15V) ======
Base (Pin 1) = 22.15V
Collector (Pin 2) = 21.65V
Emitter (Pin 3) = 23.88V
I tried to adjust -15V reference with potentiometer. Nothing. I tried to return to original parts (which is why it looks awful on photo). Same values. Just. Awesome.

As of now, I measured some sections of PCB, but there is no short, no obvious open circuit, Zeners are supplying desired voltages and impedance is correct in regards to schematic and components markings.
A marking like 3-450 usually means it is HP part number 1853-0450. I guess HP suppressed the leading 185. Anyway, from the readily downloadable HP Cross Reference list, I get the following:
1853-0450 = MJE371K
Now I think it's wierd. From schematics Q2 is a NPN BJT, but from MJE371 datasheet it seems it's PNP:
https://www.mouser.co.uk/datasheet/2/308/1/MJE371_D-2316041.pdf -> EDIT: I was having a brain fog, mistaking Q2 and Q3 xD
EDIT: Grammar. I wrote it like I had a stroke.