Nooo! This is not what I meant. I mean that embedding a search engine to your website without the user moving back to Google. So every website has a search engine for the entire internet. Not just Google. I want search to be kind of affiliate revenue to Amazon. So the developer embeds a search engine on the search page of a news website they get commission off the ads in a search result if the user decide to use search on the news paper's website. A search engine like Google for global search not just site-limited search.
Like do what Google is doing to websites but in reverse. Commoditize search. It'll require something more to get it right/product market fit but it's possible if you be creative.
Google is not the end product, its a compliment to websites. Websites need to commoditize Google instead of it being the other way around.