They'd have to know they were compromised first. I think that is a big 'if', and creation of a centralized repository of backdoor keys makes for tempting targets.
I mean, every technical system can be shutdown and will shutdown sometimes, isn't that a inherent weakness of such a system?
if that beacon does not respond disable automation for that part?
Just like bullying: bullying itself is annoying, but what I found annoying is the inconsistency of it. At some point, my bullies were friendly, at another point once more bullying. If it were permanently on-going and not sneaky, they'd be found out by e.g. teachers long ago already.
On the other hand, wouldn't a ddos be visible in the logs?
Logs should be checked centrally anyway, so a 30 second flood of messages should be visible.
But in the end, you are right that it will be hard to do this the right way.