Well, I don't watch Supergirl anymore after the season two finale. I can tolerate a lot, but no one jobs Superman and keeps my viewership, not even Kara. I did happen on a clip that show the Legion of Superheroes, with Saturn Girl stating that the Legion was inspired by Kara's example. The heck?! Is there nothing from the Superman mythos that they won't steal? I find it deplorable, but then I remember that Superman fans, readers, viewers, etc. aren't concerned with the LOS and Superman's legacy even onto the future. If anything, it cements that I won't be watching Supergirl anytime soon.
Why else did she get three mysterious girlfriends in the next introduction of the LSH? And, to be fair, there was a LSH in the far future before Mon-el showed up, according to his story. So why wouldn't they have been inspired by Superman too?
Supergirl is great, btw. Fun show with fun interpretations of these characters. I mean, Crisis on Earth X is, by far, the best love-letter to the Bronze Age comics that I've ever seen. You are missing out on some great DC live action feats of coolness.