For the record, since they introduced the element of the multiverse, we don't actually know whether "Constantine" was set on Earth-1 or not. All we know is that Earth-1 also has a John Constantine "master of the dark arts" who may or may not be the one from the show "Constantine".
Constantine's
Arrow episode did contain several subtle nods to the continuity of the NBC series, like a mention of his base of operations where he stored magical objects, and a reference to the episode in which he performed the same soul-restoring ceremony he did for Sara. I do believe it was meant to be in the same universe. The
Arrowverse Wiki certainly thinks so, since it includes
Constantine in the list of series it covers but not
Supergirl.
Although I've come to regret that a bit in retrospect, because I think it would be neat if Constantine showed up in FOX's
Lucifer. I wouldn't mind if they established that Constantine, the same single individual, were capable of crossing between universes.
Which they might want to choose to do if they ever do The Spectre, which "Constantine" didn't quite handle that good.
There I'd have to agree, since their Jim Corrigan was an incredibly awful actor. Seriously, it's like he stepped out of the cast of
Manos, the Hands of Fate.
Then again, the Arrowverse has changed the identities of heroes before -- Laurel Lance instead of Dinah for Black Canary, Jefferson Jackson instead of Jason Rusch for Firestorm. So they could skip Corrigan and have the Spectre be Crispus Allen, say. (Allen was a character on
Gotham, but they dropped him after about 9 episodes, so it seems they'd have no interest in claiming him.)
On that note, maybe The CW should try and get "Constantine" going again. It would benefit from the connection to the other shows, but it'd be different enough to also get other demographics who are not interested in superhero shows.
Hmm, yeah, that could be the Friday night show to complete the set.
I honestly don't expect them to outright merge the universes, though I hope they take full advantage of the greater crossover potential. It might be nice to explore Supergirl on Earth-1 as a story arc though...have her trapped there for several episodes worth of story or somesuch.
That would be tricky, unless it were scheduled to be during
Supergirl's hiatus. Doing several episodes of SG without the title character would be awkward.
On Earth-SG, not only does she very much live in the shadow of her legendary cousin (don't deny it, it's all over the bloody show)
If you think I've been denying it, you haven't been listening to a word I've said. The whole point is that she proved her ability to stand on her own
even with the legacy of Superman already hanging over her, that pushing against that shadow and establishing herself successfully in spite of it, rather than merely in its absence, is an important part of her story arc. After all, we live in a world where women constantly have to fight harder than men in order to prove themselves, as Cat Grant has pointed out explicitly. Most women don't have the luxury to be free of that shadow, because there's no shortage of men in the world. So they have to push against it and prove that they are not overshadowed after all. Cat didn't need Perry White to die or disappear before she could establish herself as an equal to him in the media world; if anything, the shadow he cast over her gave her an incentive to shine brighter. So the fact that Supergirl has to establish and define herself within the context of a world where Superman's influence is pervasive is fundamental to the show's feminist themes and allegories.
but being a Kryptonian doesn't seem to be that big of a deal...Non had Kryptonian followers who had nothing better to do than stay behind the scenes most of the season, and the DEO seems to have Kryptonite stockpiles to rival the Silver Age comics. Supergirl on Earth-1, however, could be more of a Big Fucking Deal.
From the perspective of other characters, sure, but what about her perspective? The reason she had so many Kryptonian foes is because heroes need to be faced with villains who are at least as powerful as they are, ideally more so. Sure, as a guest character, she could show up and make a big difference, but Supergirl outpowering all the heroes and villains on Earth-1 would get boring after a while. There'd have to be something really big for her to stand against.