It goes without saying that they are profit-oriented. The point is that they historically offered a clear trade: let us crawl you, and we will refer traffic to you. An AI crawler does not provide clear value back. An AI user request agent might or might not provide enough clear value back for sites to want to participate. (Same goes for the search incumbents if they go all-in on LLM search results and don't refer much traffic back).
They provide valeu for their companies. If you get some value from them it's just a side effect.