When I was an engineering manager at a large corporation, most of my time was spent in meetings about status, resources, future projects, finances, cyclical HR things, escalations with other teams, etc. Then the other half of the role is gathering information from the team about how things are going (PM's would be the task master) and finding out where there were problems either with technology (rare) or other teams (often).
These things cannot be scripted away - they all involve talking with other humans.