Anyway, the point is that the RCN is not part of the RN. It once has been, but there is simply no way any more that the British parliament can excercise any direct power over it. Both answer to the Crown, but the Crown really does not have a power to over-ride parliament nowadays. And in this case, you're dealing with two different parliaments - the British and the Canadian, which are completely independent of each other, and are democratically elected by the people of their respective nations.
But that doesn't mean our navies still can't be friends