It is a little more complicated than that. For our institutions to have access to federal funding, sometimes the provincial governments ask them to draw on the resources they already have, and then calculate the provincial contribution. That mechanism therefore does not always have a lever effect, where the additional money from the province is on top of what the federal government is proposing.
What we have to understand, and this is where the intergovernmental coordination structure is important, is that the envelopes announced by the federal government do not always match a province's budget cycle. It is therefore difficult to imagine how a province could predict the amount of additional contributions for postsecondary education, outside the cycle, and match them as they are supposed to do.
That is why coordination is an important mechanism.