be warned though:

firecrawl: "if you post content or intellectual property within the Services or give us Feedback about the Services, you hereby grant to us a worldwide, irrevocable, non-exclusive, royalty-free license to use, reproduce, modify, publish, translate and distribute any content that you submit in any form [...] You also grant to us the right to sub-license these rights"

exa: "Query Data is used to improve our products and technology, including by training and fine-tuning models that power our Services"

perplexity: "Perplexity may retain, copy, distribute and otherwise use Search Data for its lawful business purposes, including the improvement and development of products and services."

linkup: "Client grants Linkup a worldwide right to use, reproduce and modify the Client Data, including prompts, for the purposes of providing, maintaining, developing, training"

tavily: "we may use certain portions of your query data to improve our responses to future queries"..."We may share your query data with third-party search index providers (e.g., Google)"

Kagi also has an API. People who hate ads are probably the same folk that should be paying for Kagi. That's the sane alternative world where companies respect their users.