There are likely many scenarios where this could be useful, but here are my use cases.
I am developing a personal blog website which includes a Zettelkasten knowledge management system where I am creating notes whilst I learn new skills and researching. Most of the content is public on the Internet and some is private on my local network. As I will be publishing my writing as I go, it may be incomplete, not as refined as it could be, and I may not have explained the contents of code blocks, etc. This is normal for a knowledge management system as it is refined over time.
In order to help myself, and visitors that find my website, I can see many opportunities to include a small button to make the information on the web page more accessible. It should be possible to provide a specially crafted URL to quickly direct a visitor to the Kagi Summarize Page in a new browser tab. This would require a paid Kagi user account to proceed, but that's an opportunity for Kagi to sign up a new customer, if they aren't already.
As the website is being built from Markdown into HTML, I can create additional links and buttons. A small button beside code blocks, quotes, terms, tags, and key ideas would allow the visitor to easily click to be directed to Kagi Assistant with the context of the question within the URL. I could also provide a list of related questions or ideas at the end of my notes that I'd like to further research, but until I do, visitors could also use the links to see what Kagi Assistant suggests as an answer or how this question could relate in different ways to the content of the note.
I am also developing a to-do list and Kanban board, where I would like to provide a button to direct myself and visitors to Kagi Assistant to ask a questions about 'how do I achieve...', 'what creative ideas are there to...', 'how can I make this task more interesting...', or 'what are the prerequisites for...' when starting or breaking down a task. This would encourage me to provide good descriptions on tasks, using tags to provide more context that could be passed along in the URL to Kagi Assistant to improve on the results.
As mentioned, the visitor can ask predefined questions that are crafted into URL links on a website to ask Kagi Assistant questions about the content on the page, and then ask any follow questions. The question in the URL might include some of the content, context, or a publicly accessibly URL to content.
As an example, I wrote a blob post about installing a rather niche piece of software on Ubuntu. I manually provided Kagi Assistant Chat the URL to the post and asked it to write the installation steps for Windows, which is successfully provided. If this was an automatically generated button on my website, it could help people get the answers to doing something beyond what they read in the blog post.
This feature would require URLs that can be used to pass questions directly in Kagi Assistant to be documented (rather than guessed) and some cute Kagi dog buttons to display beside content to 'Ask Kagi how...', 'Let Kagi explain...', 'Research this further on Kagi Assistant...', etc.