No. I don't think they do either and that is one of the main problems with 'Supergirl' in my opinion. If you are going to write a TV show or a movie about a superhero you should know everything there is to know about that superhero at least do some research and read some of the comic books at the very least but I don't think these people have read many 'Supergirl' comic books and they most likely only read some of the 'Superman' comic books she appeared in and are basing most of their knowledge on that. While it is known as bad as what they did with 'Birds of Prey' which was give it to writers who had never read the comic books and had no idea what to do with the characters it is far from perfect and they should have studied the character more.
You could write a Supergirl show and play Supergirl too. You look damn F I N E in that white, red and blue costume girl and Melissa has nothing on you. We can blame the writers all we like but who puts those people in charge of writing shows? That's the real headscratcher. Who thought Olicity and Karamello were good ideas?
You just want to get me in the costume again. I don't think I could play Supergirl in a movie 'cause I am not good at fighting like you and they would probably class me as being too old 'cause being a woman and over 35 means you are prehistoric in Hollywood but I do love the costume and feel very sexy wearing it for you.