I don't think so. All the other adaptations (the 1930s-40's movie serial; the Max Fleischer shorts; the radio series; the George Reeves series; Filmation's version; the Christopher Reeve movies; the 1980s "Superboy" series; the Ruby-Spears series from 1988; "Superman: The Animated Seres"; "Lois and Clark: The New Adventures of Superman; yes, even the "Dark Knight Universe" version, not to mention all the "DC Universe" direct-to-video movies, and possibly others*), while each having their own ideas, are actual adaptations of the Superman story and his career as a crime fighter. This upcoming series, from what I can understand (at this point, I'll admit), focuses (or appears to focus) less on that, and more on the slice of life parts of it, more like a sitcom, you could say; something that any show can do. That, and as a previous poster mentioned, all three of them have just graduated college, and are apparently the same age. That by itself feels more like an "Elseworlds" story to me. For these reasons, IMHO, I don't really think it's fair to call any and other adaptations of the Superman story an Elseworlds story.Technically every adaptation would be an elseworld story.
*I didn't mention SuperFriends, Justice League, Legion of Superheroes, or Young Justice since those are all ensemble series that aren't strictly about Superman. Also, I refuse to refer to the universe "Man of Steel" belongs to as the "DC Extended Universe", or other names like, but that's actually for another topic.