You are completely wrong. A publisher controls the publication of a work, text or other, including it's duplication and licensing. Other companies cannot xerox a book and sell it. Clear?
Indexing has clear analogues from before the Internet. It is obviously not copyright infringement. Quoting a small snippet to give context for a search result also obviously isnt copyright infringement.
So much so that publishers created special law to make unpaid snippets illegal in the context of global search engines, specifically to target Google, outside of copyright. Happened in the EU, Canada (I think) and Australia.
I specifically gave the example of selling it not being covered by what I'm talking about. But other parties can definitely "xerox" a book and read it. Use its content. Talk about what is written in it. Quote it. There are limits to the controlling rights of a publisher.