Main difference is that Kagi is funded completely by users where Brave is (predominately) by advertisers. So everything we do is always user-centric. I welcome that Brave has an ad-free option available, but have yet to meet anyone who pays for it. Brave search is mainly known as ad-supported search engine.

Orion Browser is truly privacy respecting browser. It is zero-telemetry and blocks first party ads by default, unlike Brave.