Thinking about this yet again...It is interesting and unusual that the problem is the power supplies won't turn off. It seems most of the time power problems are missing power. From your last revelation of using a jumper to attempt to turn 1TR21 off (by connecting 1TR21 collector to emitter) it tells me the problem (as Ralph-Marcus also noted) is on the power side of the circuit and not on the microcomputer control side.
The other interesting thing is that whatever the problem is, it affects both the +15V and -15V supplies. Those two supplies have separate transistor controls though (0TR1 and 1TR19 respectively). A problem in and around 1TR19 would affect both plus and minus supplies though.
I looked back at some of your measurements when you were trying to match up with the simulation probes. At least one of them doesn't look like you got the right point measured. For example PR14 has to be around -24V and you showed 0V. But that is the source of the -15V and you showed that you had -15V.
Focus in on 1TR19 base and emitter voltages for the Beogram ON and OFF states. There should be a 0.6V to 0.7V difference in those when the -15V is on and near zero difference when the Beogram is supposed to be off. Your earlier measurements showed the 1TR19 emitter at -22.5V and the base at -17.4V. That means 1TR19 would be on and -15V is on (which is the case with your circuit). So why is 1TR19 not turning off? If 1TR20 has its emitter side grounded (per your jumper) then it will be off and the 1TR19 base and emitter voltages should measure close to the same value (keeping 1TR19 turned off). That apparently is not happening in your circuit.