Best possible option is to let millions of people crawl small parts of the web, index them and generate a ZK proof of that and get paid for their work _somehow_ then share these parts with each other in some sort of a DHT.
However, a centralized indexer will always be 1000000x efficient because zk proofs are expensive as fuck.
Even then I don't think this will work well at all.
It is much easier and cheaper to just pay someone for a high quality aggregated feed