> No; I’m not understanding your point about guessing. Could you restate?

In the general case, the person writing the software has no way of knowing that "the database is owned by a separate oncall rotation". That's about your organization chart.

Admittedly, they'd be justified in assuming that somebody is paying attention to the database. On the other hand, they really can't be sure that the database is going to report anything useful to anybody at all, or whether it's going to report the salient details. The database may not even know that the request was ever made. Maybe the requests are timing out because they never got there. And definitely maybe the requests are timing out because you're sending too many of them.

I mean, no, it doesn't make sense to log a million identical messages, but that's rate limiting. It's still an error if you can't access your database, and for all you know it's an error that your admin will have to fix.

As for metrics, I tend to see those as downstream of logs. You compute the metric by counting the log messages. And a metric can't say "this particular query failed". The ideal "database timeout" message should give the exact operation that timed out.