Just stating that it is P2P doesn't necessarily mean this. If there were skype servers that handled everything except for the actual individual call, and the individual call was in a connection directly between two clients (not through a server) and that would be enough to be able to say "Skype is p2p".
I don't think you understood my comment. I was simply stating that "Skype is P2P" is not a statement that is at all relevant to the conversation is above, it could be P2P and still not use your bandwidth when you are not actively using it.