Clearly, when we talk about asymmetry, that applies in large part in the context of part VII of the Official Languages Act, for which we don't yet have the necessary implementing regulations. I think, however, that part VII also states that we recognize that there are two official language communities in Canada. It makes that clear, and it's clearly stated in other parts of the act as well. It also recognizes this asymmetry. You're absolutely right.
Evidence of meeting #122 for Official Languages in the 44th Parliament, 1st Session. (The original version is on Parliament’s site, as are the minutes.) The winning word was schools.
A recording is available from Parliament.