There'd be a small first-mover advantage for being the first to print a book and smaller operations not worth copying would still operate but J.K. Rowling wouldn't be a billionaire.
I'm not saying this couldn't work, in theory, but I think in practice that the # of parasites has the potential to make such a model unworkable. But maybe not! I'd be perfectly happy if you're right and it worked.
More generally, non-excludable goods do not work well within a free market system. If you want them produced, you either set up a state mechanism for funding them (which many countries do for e.g. film, by creating national film funds), or you somehow make them excludable (e.g. through copyright). The other options aren't really effective.
Copyright is also the tool of open source code licensing. How exactly would a viral license operate when, lacking copyright, the authors have nothing to license?