It appears that Kagi can get into a weird state where SSE breaks. It appears the result of breaking causes no cookies to be sent with the request for SSE, resulting in a 302 redirect to the login page (which the UI considers an error).
I'm unsure the root cause, but the failure mode is likely undesirable.
At the very least, I would expect the UI to provide an error, rather than silently failing. However, optimally, the UI should recover more gracefully from this error.