Fredo and Michael had the decency and sensitivity -

1. Fredo waited until Greene exited before his angry outburst at Michael
2. Michael sent Neri and Rocco out of the Desert Inn room before discussing Fredo with Tom

The way Kay sprung such a personal and private “children are outside we're going” on Michael in front of 'hired help' whether they be Neri or Rocco, was in extreme poor taste