Change Windows. You can't take shit down during the work day.
Everywhere I've worked (many very large companies, banks, telecom, outsourced IT, etc) teams have coverage schedules, so I suspect this article is misleading.
Someone has to mind things 24/7, this is done via scheduling.
And the more critical you are, the more on-call you are. I had one role where I was on call 24/7. Things rarely broke enough for me to be called, but I never once resented when I was called. I'd rather get woken up at 2am because my help is needed than have the risk that our systems aren't ready for the day.