When sharing URLs in messaging apps, oftentimes a preview of the link is rendered with a specific page title and sometimes even a preview of the page content. However, when sharing a link to a public Kagi assistant chat in macOS’s Messages.app, the link is just rendered as “Kagi assistant” with no information about the content of the chat.

Ideally the link preview would contain the chat title, and maybe even a thumbnail image of the exact prompt (or a snippet of it).
Recipients of links to Kagi assistant chats would have an idea of what they're looking at before opening the link.
ChatGPT does the following, showing you the chat title:
