I took the chance and powered the unit up very slowly while monitoring the temperatures of the rectifiers and capacitors. The big orange rectifier (likely the one for the tube heaters) reached about 60 °C after the unit was on full supply voltage for 20 minutes, but there was no bad smell at all and the input power was 50 W, just as specified. The mechanical chopper transformer was buzzing nicely, and obviously with a well working speed control.
Surprisingly, the measurements worked quite well! All the voltage ranges were almost accurate, stable and did not need any extensive zeroing.
The current ranges were not that stable, I had to adjust the "zero" after every range change and move my had to the right distance from the wires when I took the photo of the 5 nA measurement. A pleasant surprise though.
Of cause, I will still measure the ripple on the supply ranges, even though I do not have reference values for a "good" unit. I'll also I suppose something like 5 % ripple would be quite normal in such a device?
I would also like to replace the front connector, which is pretty oxidized and gives an unstable connection when moved. I'll look for one with teflon insulation and gold plating.
I am not sure if I want to use the cadmium solder though... Lowimpedance, you are right, this is not the original connector, which is not available any more. I don't mind having a connector that I can actually use!
Thank you to everyone who contributed in this thread! I'll keep your advice in mind when I do repairs or conservation on this or another old piece of test gear!