Encapsulated in that "etc." in my first response is "going out of business". This type of response would be way too difficult to get actual numbers for, but it has worked countless times. Just look at all the businesses that are no longer in business at all, they went out of business because they were no longer earning enough to stay viable.

It doesn't matter if the company connects the loss to a specific action (although it would be nice) since the end result is the same, after enough time.

Lastly, I just don't like the idea of my dollars being used by a company to further an agenda that I don't want to support.

Archive Team often uses the Internet Archive to share the things they save and obviously they have a shared goal of saving a copy of everything ever made, but they aren't the same people. The Archive Team is a vigilante white hat hacker group (well, maybe a little bit grey), and running a Warrior basically means you're volunteering to be part of their botnet. When a website is going to be shut down, they'll whip together a script and push it out to the botnet to try to grab as much of the dying site as they can, and when there's more downtime they have some other projects, like trying to brute force all those awful link shorteners so that when they inevitably die, people can still figure out where it should've pointed to.