Why SSMU is irrelevant

They seemed to have forgotten about the British North America Act of 1867 (Constitution Act these days):

93. In and for each Province the Legislature may exclusively make Laws in relation to Education, subject and according to the following Provisions:(...)

Hmmm... So provinces have exclusive jurisdiction over education... so let's go and leave our provincial lobby group and join an ineffective federal one. By Jove, I think we've got it!