Technically....wouldn't ALL video games be RPGs then? If the purpose is to PLAY A ROLE and IMMERSE YOURSELF IN THE CHARACTER, then that could easily be applied to an FPS just as much as an RPG or JRPG. Realistically, the only difference is that you don't create your own character...in SOME action games. But as for a game like an FPS, what you decide to do DIRECTLY affects the game and changes the outcome. Come around the wrong corner guns a'blazin' and you get obliterated.

We've simply come to accept the terminology of "RPG" for a traditional JRPG and that term NOW has meaning of a story based game with menu driven battles and customizable character options. That's something we've all done as gamers and accepted for decades...it's part of gaming canon now, regardless of the origins of the terminology or whether or not some douche at Bioware things that the term is apt.

Conceptually, I don't see the difference between sitting there rolling the dice and praying that the enemy doesn't get a natural 20 and having a computer grind the AI algorithm and decide that the enemy kills you. Instead of telling your DM (dungeon master for the uninitiated) that you come running around the corner and your DM tells you what happens, you instead input your thoughts as reactions on a controller. In ANY game YOU are in control of the character(s) in the game, therefore making ANY game with characters you control a role playing game.

Just saying...