Agreed. According to wikipedia, it is also known as "action real-time strategy (ARTS)." That's marginally better, but I'd guess that'll never catch on.
The ARTS name predates the MOBA name iirc, but the ARTS term was unpopular because it's plainly obvious that they aren't RTS games and they were only called that because they fell out of the modding tools for Blizzard's RTS games. Ironically the existing genre they resemble most is ARPGs since they're basically ARPG gameplay and progression mechanics in a team vs team setting, but people get grumpy when you bolt the term "RPG" onto something with no plot to speak of.
To answer your child post. There is SMITE a third person MOBA. First person MOBA wouldn't work as well because you couldn't see your character do the cool move.
Look up 'Monday Night Combat'. Devs like to experiment by mixing and matching genres, so in my experience things like this often exist somewhere. It was a pretty average game, but the idea is sound.
If the bots would not crash constantly, it might do for me. I would like some more strategy for the commander and a game mode which works for few players in a LAN.