MOBA originated as a sub-genre of (A)RTS. There are also other sub-genres like MMO strategy games (e.g. Clash of Clans).

That said, I remember RTS as Triple-A genre with games like Age of Empires, Command & Conquer, Age of Mythology, Empire Earth, Dune, Star Craft, WarCraft, etc. A complete genre has been dead since 2006. RTS doesn't translate very well to consoles with their controller input device, though it would work fine on touch devices and on the evergreen PC/notebook.