Despite its importance I don't think the Internet Archive is a common household name on the level of Wikipedia and I don't think any sort of boycott would have the legs (I would love to be wrong about this).
Though I think in this context by bully the OP probably meant something like boycott.
I bought every Cory Doctorow novel through his publisher Tor because he gives them away for free and I enjoyed them. Tor have been acting like bastards to libraries. I now boycott Tor, so I am not buying his books, and I suppose that means I'm bullying the author.
Note that many other libraries across the nation engage in exactly the same practice. Of course the legal problem is that digital goods are "licensed" instead of "owned" ...