The "google couldn't care less" part I address in the post as well: I'm well aware that my site by itself will never have any significant impact.
As for how it encourages anyone to do anything: one site is not enough, but if a few people do this, the word starts to spread that you might need to try another search engine to find the more obscure things on the internet. People here seem to like the idea (judging by its positioning in the thread), and a lot of the tech community reads this. A few minutes ago, someone reached out via chat because they recognized my username. Those are the people that also make decisions at google or friends of people that make those decisions.
I understand where you're coming from, but I think it's more like voting than like your taxation comparison: your vote never matters, why bother? You don't have a voice in the government. None. But still, people vote. Collectively, we can make a difference.