This point is important - the value of a log is inextricably tied to its unlikelihood. Which depends on so many things in the context.

The value of all logs is tied only to if there is a problem will it help you find and debug it. If you never do statistics that password log is useless. If you never encounter a problem where the log helps debug it was useless.

God doesn't tell you the future so good luck figuring out which logs you really need.