Communication is pretty much the primary job of any operating team. This follows naturally from the idea that people in the modern economy are knowledge workers and knowledge comes about through the sharing and accessing of information.
The perception that communication is overhead usually comes about because much of communication is perceived to be noise instead of signal.
The counterargument to this is that if people are sending a lot of noise it is because they're not sufficiently aware of the SharedGoals and aren't passing the SquirmTest: spewing a bunch of noise is a clear indicator that people don't know what they need to be doing to make a reasonable contribution.
So in that sense noisy communication is a signal about the health of the group and a pointer to techniques to improve the situation. Those techniques can probably be grouped in something like stop, look, listen.
On the other hand a team that isn't communicating much at all, whether signal or noise, has a different problem, probably lack of leadership, whether it comes from an individual or individuals (who need to communicate more) or from insufficient expression of the goals.