Thanks both for your patience.
It sounds as though the DSD-linked alarm is the least direct of the various emergency systems, and relies on the signalling staff to contact someone on board the train to ascertain what's going on (despite the fact that, in DOO working, the driver is the only trained point of contact). In other words, in the event of a collision with a foreign object which incapacitates or kills the driver and derails the train, oncoming trains on fouled lines won't receive any warning. In a similar situation, a Guard, assuming they are still able to do so, can use the red button to stop all trains in the area. Is my understanding correct?
If it is accurate, then I see a weakness in the system in cases of driver incapacitation with DOO working. Even if the train is not derailed and does not therefore foul any other tracks, without a Guard, the signalman is going to have to unsuccessfully attempt to speak to the driver before initiating an emergency procedure. It's therefore a slower system than the red button, and arguably slower even than the yellow button as at least someone on the train will be able to speak to the signaller having pressed it. I understand that the DSD-linked emergency transmission cannot stop all trains in the vicinity as the red button does, due to false alarms, but it still doesn't change the apparent fact that the worst case emergency is provided-for by the slowest, least-efficient means of emergency communication. Of course, by retaining Guards, we double our chances of someone being able to activate the red button, thereby protecting fouled tracks and passengers who may have escaped overturned or crumpled coaches and ended-up on live running lines.