The problem with this is that currently, as best as anyone knows, Sci-hub works via proxying using legitimate logins. At a University level, usually there is some server running that acts as a proxy so that students and instructors on the campus can access (all calls get proxied), or students can access off campus using their federated student logins, which then creates a quick web-proxy.
Since it's just a login/access to proxied logins, Sci-hub has a third option which they will most definitely double-down on: try to "fix" the log in problem they have.
As important as I do think piracy is for situations just like this, the problem with trying to understand piracy in a market environment is that piracy doesn't really follow the same rules as other market elements. While there may be some economic value to pirates, for the most part, they can compete on cost and free of the trappings of business deals. They don't have to worry about making a profit, and as such are not influenced by the responses from other elements, such as those they're pirating from.
This isn't "oh woe to the publishers"; I do think they've been bending us over forever. But to expect them to respond to piracy as they would another business is unrealistic in my mind, especially when they can just regulate and sue their way to their goals.
What hopefully happens as a result of Sci-hub is that it will change the way that researchers and their institutions look towards paper publication in the future, once they realize that there's no longer a need for Elsevier and its kin. That is change I hope happens. But to expect Elsevier et. al. to do anything but try to return to their status quo is kind of absurd.