Well, Veeblefester does own the tea cozy factory? Warehouse? Business. So, yes, this tea cozy world does revolve around Veeblefester.
I wonder what Brutus was being egotistical about. What if Veeblefester just wanted to say this. "Here is some age old advice. Do not be egotistic, Thornapple." Yes, I'm going with that. Veeblefester is thinking up ways to talk about himself by starting out the conversation with bits of "advice."