have you already landed as a PR? if so, no it's not necessary
are you still waiting for approval? if so, depending on where in the process you are, you may want to consider updating your address. it will not affect the processing of your application, but can help eliminate any issues having your approval paper sent to the wrong address. while it seems this is less likely to happen with the new process, it can still happen and has been a known issue in the past.