I have always wondered but how does wayback machine work, is there no way that we can use wayback archive and then run a index on top of every wayback archive somehow?
1. IIUC depends a lot on "Save Page Now" democratization, which could work, but its not like a crawler.
2. In absence of alexa they depend quite heavily on common crawl, which is quite crazy because there literally is no other place to go. I don't think they can use google's syndicated API, cause they would then start showing ads in their database, which is garbage that would strain their tiny storage budget.
3. Minor from a software engineering perspective but important for survival of the company: since they are an artifact of record storage, to convert that to an index would need a good legal team to battle google to argue. They do that the DoJ's recent ruling in their favor.
Even if they see it, it's a classic chicken & egg problem: it's not worth the time of the site operator to engage with your offer until your search engine popular enough to matter, but your search engine will never become popular enough to matter if it doesn't have a critical mass of sites to begin with.
Oh, almost never. That's exactly why search sucks now.