Yes, I do find that to be an interesting option. In terms of the strings that would be attached, the reason students are asking for this is that when you look at the broad scope of post-secondary education that's happening in different jurisdictions across Canada, it appears rather piecemeal and unfocused, and it's just generally a consensus that Canada would benefit from a national vision there.
If Quebec doesn't want the federal government telling it how exactly to spend its education dollars, I would certainly understand that, but the fear with the transfer is that, like with other transfers for education, such as happens now through the Canada social transfer, provincial governments would not be held to account to spend that money on post-secondary education. So the only string that I think is really important to be attached is that it be dedicated to post-secondary education.