Google search referer changes

If Google would increase your search engine ranking if you placed a small floating button asking users if you were satisfied with this result, would you? Like on Stack Overflow with correct answers.

It would only appear to users coming from Google.

How about if they paid you?

edit: this way Google could learn about someone's linguistical style of keyword entry, participating sites are better or more fairly ranked in results (and possibly paid). Users could turn the button off for all sites visited, and participating sites may only show it periodically.

Interesting that the anchor URLs on results links don't change it seems (simply remaining as the destination URL), but the referrer information passed to the underlying site does change. (so it isn't the page that the results are on anymore) Am I missing something?

This might be a pretty common insight, but each user has their own style of keyword entry. Also, there would be changes across cultural groups.

Say I was looking to buy a car, I might enter:

"automobile sales Washington showroom"

someone else might say

"buy new car local dealer"

How can intention be measure by keywords alone, when those keywords for any intention vary across individuals and cultural groups? Synonyms are common too. I guess that is the algorithm's problem, not mine. But, often I have to rewrite my search to better express my intention, and rarely do I venture beyond two search results pages.