I happen to manage approx 20 people in a ~500 person org. Everyone gets a chance to decide if they want to focus on becoming a social animal and growing in the org (which results in more meetings, more emails, more chats, etc.) or just concentrate on the technical stuff. The latter is perfectly fine for me as I am aware that these people still produce huge amounts of value to the company. However they are not party to some decision loops and are often on the receiving end of architecture and design decisions. Most of them start to complain about that sooner or later, so I ask them to start participating in more meetings... Once being able to put all that into perspective, most of them don't complain about it anymore.
So long story short - most of the time you can't have it both ways in a large(-ish) organization. You can either be the guy who digs a hole every day and someone tells him where. Or you can be the guy who decides where to dig the holes but only get to dig a more moderate amount of holes yourself.