I'm having an argument with a friend of mine about this upcoming Flash/Supergirl TV crossover. He says that Supergirl exists on Earth 3, since Flash has already been to Earth 2, and that he must number the earth by the order he visits them. I've been trying to explain that it would be disappointing to me and a lot of other fans if that was the case, since in the comics Earth 3 is meant to be the complete reverse of Earth Prime.
I've been trying to explain that the name Earth 3 is important in DC Comics and it should always be the Crime Syndicate earth, but he's not getting it, so maybe I'm just wrong.
Are the numbers of earths, namely Earth 2 and Earth 3 important? Should they remain the same in all forms of media?