No, this is not true. You do not need to get the PR card first; you are entitled to pay domestic tuition on the date of your landing.
You can send a copy of either your PR card or your COPR as proof of status.
Dear friend,
You will get the privilege of a domestic student only after u have a PR card. Many of the universities ask for a copy of PR card. Some universities permit you to start application process as an internaltional student, but you can change the status (the admission process takes apporx a year) when u get the PR.