Very little communication I have around the office are crises - but they are important. If I insisted on having a completely different schedule from my coworkers, I'd either be impeding their work, or subjecting myself to emails, SMSes, calls, etc, outside of my work hours.

Lots of company have flex time so people can choose their hours but have some overlap for communications. This is also where the "mid day meeting rush" comes from that exacerbates the situation.