My solution was to deactivate iThemes and begin using All-In-On WP Security. It does pretty much the same things and I found the interface far nicer. And the 404 reports are accurate.
This can only be a problem with iThemes, and it is definitely not a “feature.” The current version is 7.3.1 and mine was updated about two weeks ago.
Yes indeed, though it took a couple refreshes before the change took effect. Viele Dank.