Bots do DDoS, they use search to provide various services for marketers and SEO industry (without sharing any revenue with the search engine), they try to influence search engine's internal metrics, etc.

I think any action should have a proper cost, which should solve or at leave heavily reduce various unwanted behaviors.

I like the idea of taking sats for a search, and then redistributing these sats to both those who received views and those who received clicks. In what proportion, and how to do accounting properly is the question - views happen right after you pay for search, but clicks on that search might happen days later, not trivial to setup accounting for this.