It would be nice if Kagi linked to https://status.kagi.com/ on a 5XX error.
During an outage, users can't exactly search for the status page.
I would also imagine that this could reduce server load (making recovery easier) from user's spamming F5. I would also think monitoring the traffic to the status page could become an interesting signal, if the number of requests to the status page spikes (an idea from the IPXE team).