What it realy boils down to, we (and australia, NZ) still have a monarch, it just happens to be the same person as Englands. The office of the Monarch of the Dominion of Canada is not the same office as the Queen of England or the Empress of Great Britain though. To keep consistency, the whole thing has to continue or we just start over and the whole legal deck of cards is reduced to “Yeah we’re a republic now, precedence is gone, straight force for the next while instead of tradition until the new fiction gets to be traditional”