Safari's native support for search engines like Google, DuckDuckGo and Bing supports a feature called Search Engine SnapBack: after browsing from a search results page, you can jump back to the search results page with a single menu action or keyboard shortcut (History > Search Results SnapBack). Since Safari doesn't support Kagi natively, this feature does not work with Kagi search results pages.
I'd love it if the Kagi Safari Extension added a Kagi Results SnapBack toolbar button (and, if possible, the option for a keyboard shortcut) that would likewise jump back to the Kagi Search results page after browsing to a search result.