I’m curious why you think you’d need more managers.
Whether meetings are in Zoom or in person doesn’t necessarily change how much effort is expended. It really depends on the team from my experience, not the medium of the meeting.
An unproductive team will have unproductive meetings whether in person or on Zoom.
Would be happy to chat about this or learn more. I am a manager of a remote team, and have not been a manager of an in-person team, and I can't quite envision how much more challenging my work is compared to if my team was co-located each day.