Working with a team doesn't mean synchronous communication. We need to get off of this "I am a special snowflake" and my current issue trumps whatever anyone else is working on.
Hire good people and trust that they will respond to issues appropriately. If your services are down and the company is bleeding cash every second, they will stop what their doing and help fix the issue.
Having communication be synchronous-by-default more easily leads to scenarios where you decide to ask a colleague a question real quick that breaks their flow. I'm guilty of this myself.