Earlier quoted context omitted.
I'm not sure if you are trolling or genuine, but obviously it is worth it to wake someone up (someone who is specifically paid for being available to be woken up) once it prevents enough costs by resolving the issue now instead of doing so in half a day.
> I'm not sure if you are trolling or genuine Odd, because I'm not sure if you are either. Very few things are so important or costly, and if you're winding up in that situation frequently enough to rob people of their personal time to manually deal with it, clearly something is majorly wrong with this hypothetical critical thing at an architectural level. There's nothing controversial about this.
Any outage that costs more than paying an engineer to be on-call is worth it. It's not that complex. If an outage blocks 10000 people from doing their work, it's obviously worth it to wake someone up to try to resolve it half a day sooner. (Someone you've been paying specifically for this purpose!)
> rob people of their personal time
Being paid to be on-call is not your personal time.