Unfortunately there seems to be no service manual for this model, but I do have a schematic that I have been familiarizing myself with today. I am sure it is a DC current relay control problem. One wire for the relay power comes from one board and the other comes from another board of course to complicate things. I think the longer I look at the schematic the more I am understanding it. Unfortunately the schematic doesn't show voltages at the transistors either, or transistor parts numbers.
......
Thanks for the link to the schematic. Interesting that the relay is on a different part of the schema (right middle) from the circuit that controls it (right bottom). To do measurements you would usually (not always) attach the black lead of your meter to ground and probe the part under test with the red lead. It is good to insulate the red lead with electrical tape as close to the tip as possible and have just the very end of the probe's metal exposed.
I found the thread you quoted and the problem there does sound similar to what you describe. The transistor that I suggest needs replacing, Qe20, is one of the ones mentioned. It is the one that actually drives the relay coil and is most likely to fail. What happens is that over time the gain (aka hFE) of that transistor diminishes because it is always on, like a switch, whenever the amp is powered up. When the gain diminishes far enough the transistor is no longer able to keep the relay closed. It is a common failure mode. Supporting caps also age and can fail.
Please note that this discussion, as well as troubleshooting suggestions in the other thread, assumes that the relay is opening up when the sound cuts out. Also assuming that you are unable to locate any bad solder joints. If you are willing and able to troubleshoot per the suggestions in the other thread go for it. Another way would be to simply replace Qe20 and Ce21 and see if the problem goes away.
In the scenarios mentioned, the potential culprits are Qe15, 16, 17, 19, and Qe20. In any case you should replace Qe20. You could proceed by changing only Qe20 (what I'd do, lol), or you could test and possibly find other culprits, or you could shot-gun the lot of them (overkill most likely, but these are all 2sc1213A so you could order 10 and have spares).
I would definitely also replace supporting cap Ce21. I found one cap
completely shot in the relay circuit of my KA-7100. In your relay circuit I was only able to see one obvious candidate for replacement and that is Ce21. I might have missed something with the circuit being spread over different parts of the schema, but I would for sure replace that one. Please note that relay circuits often have different types of caps such as bipolar or low leakage. I can not tell for certain from the schematic exactly what type of cap Ce21 is. If it is bipolar it would say so on the sleeve of the cap (I don't think it is because the schema shows it as polarized). But what I can not tell from the schema is whether or not it is low leakage. If Ce21 is orange in color it is low leakage and should be replaced with a Nichicon KL. Otherwise (not bipolar and not LL) use Nichicon PW or HE or Panasonic FM, FC or FR.
As for Qe20 it is a 2sc1213A (B or C) the last bit referring to the hFE rank.
This can still be had from B&D, but they do not specify hFE rank in their ordering page so you won't be sure what you get unless possibly you call and ask them. Personally I would prefer not to stick a "B" rank in for Qe20 (although it would probably be much better than what is in there now) and would request a "C" rank for that one. A good and stronger sub is KSD1616A (Y)
available at Mouser and Digikey. I used this sub to replace 2sc1213A in my KA-7100 relay circuit and it is working fine.
Hope this helps.