Oh, and as for the agents themselves browsing the website, if the agent uses an actual browser with JS enabled (like headless puppeteer), then you would actually be able to see how the agent browsed the website.
You could add some JS to test it and store it as a tag, maybe using something like: https://stackoverflow.com/a/78629469/407650
There could be use cases, like tracking if your content was stolen/parsed by an AI, maybe future pay-per-request for LLMs, etc.