Well, fairness demands that I at least mention that this week's Supergirl acknowledged the issue, even using some of the terms I had mentioned in my post. And they resolved things (more or less) in a way befitting what we expect from a super-hero representing the House Of El. So full, unsarcastic props. Thank you, DC Entertainment.
And let's also hope that the Supergirl writers will stop having DEO members execute villains, when, as Supergirl herself said, there's always another way.