One reaction I see a lot is that the project lead or program manager now wants to be included on all meetings and emails. There are several problems with this:
This approach doesn't scale well on programs. A person can only process so much information and getting in the full stream of the project will just create more problems. For example, the lead will think they have to respond to more emails, or will have more information to not remember correctly.
If there's a break down in communication, the lead needs to look at the team and figure out who was responsible for the communication and work with that person to plug the hole.
Sometimes there are big battles or a lot of negative energy around the issue. Pick your battles - does this one really matter? Hey, stuff happens - see it as an opportunity to strengthen the team.
I want to be careful with this comment: if you find yourself in a tug of war over who said what and by-god-I-have-emails-to-prove-it, take a step back and assess yourself. Are you reacting because there's a serious project impact or because someone challenged your authority? Almost anything can be whipped up in to a project impact. Anyone's sense of power can also impact a project.