Sci-Hub is still illegal. If they made a completely separate legal entity that respected copyright, sure, something like that could work. Until that happens, the choice will be "do everything manually" or "break the law", and I don't think a whole lot of universities or corporations will be condoning the latter.
There's also more interests in the world than corporations and universities. an organizational Monopoly on ideas is dangerous - it stifles innovation and destroys competition.
