So, I assume "El" is meaningless in this continuity. It's not a family name. Otherwise, the character wouldn't be called Mon-El right off the bat. He would be called Lar Gand until adopted by the House of El.
It's been explicitly and repeatedly established in the show that, yes, El is a family name on Krypton. Clark and Kara belong to the House of El. But that doesn't mean it's impossible for the syllable to have a different usage in Daxamite names. Heck, lot of languages have the "el" syllable in them -- like, say, Hebrew (Gabriel, Michael, etc.). It could just be a coincidence.
Weird action sequences here. Already mentioned, the roasting of those poor agents...but How could Supergirl not see the fireballs hurling towards the Prez until they reach the podium?! And burn the document right in front or her? With Madame Heat Wave on the ground, those had to be thrown at an arc, so how could someone hovering in the air above the event not notice?!!![]()
Last week's Flash had the same problem. Magenta kept managing to distract the Flash and get completely away even though the Flash's rescues took only a couple of seconds.
Sounds like nitpicking, but it was distracting enough to ding an otherwise solid-if a tad preachy, episode.
You know, I don't mind the preachiness. I feel that SFTV today often doesn't seem to have the kind of social commentary that it used to have. Writers these days have become so preoccupied with plot arcs and twists that there's not as much attention to theme. The other DC shows are all about the superheroes fighting evil, but there's not that much attention being paid to what ideas they're fighting for. So I find it refreshing to see a show that has something to say beyond "Tune in next week to see how this turns out."
And really, preachy social commentary is kind of in the grand tradition for the Superman universe. The earliest Superman comics were quite a heavyhanded commentary on societal problems of the day, in a rather crude wish-fulfillment way with Superman just using brute force and intimidation to deal with government corruption and warmongers and reckless drivers and the like. The '40s Superman radio series got really activist after WWII in speaking out against racial and religious bigots and anti-immigrant demagogues, in terms far more preachy than this. So this is like returning to the franchise's roots, in a way.