Google uses neural networks in their ranking function since a long time. You can't go and search the entire Internet for every single query, because it would cost $10000/query (or whatever big number it is). So, you still need an index somewhere. An agent would still take the action "find in some index" and that index needs to be created and paid for by someone. In your world, everyone has their own index or there is some shared index (that could work, but is very much not popular). There are all kinds of reasons why this is not going to work, but I asked you how it is going to work and you have not said anything specific. It's almost as if you are a LLM.