Costs of solving PoW for Anubis is absolutely not a factor in any AI companies budget. Just the costs of answering one question is millions of times more expensive than running sha256sum for Anubis.
Just in case you're being glib and mean the businesses will go under regardless of Anubis: most of these are coming from China. China absolutely will keep running these companies at a loss for the sake of strategic development.
Not much for open source solutions. A simple captcha however would cost scrapers more to crack than Anubis.
But when it comes to "real" bot management solutions: The least invasive solutions will try to match User-Agent and other headers against the TLS fingerprint and block if they don't match. More invasive solutions will fingerprint your browser and even your GPU, then either block you or issue you a tracking cookie which is often pinned to your IP and user-agent. Both of those solutions require a large base of data to know what real and fake traffic actually looks like. Only large hosting providers like CloudFlare and Akamai have that data and can provide those sorts of solutions.