Okay, here's the thing. If you just take stats, then every strategy game ever is also an RPG (each unit has stats, their weapons are effective against certain type of armour, you can upgrade them etc.). So that's bollocks. If you take choice and consequence, then TWD or Spec Ops: The Line are RPGs. So that's inaccurate as well. If you take customization, then Saints Row is an RPG. Again, not the case.
In the broad definition of the term, all video games are RPGs. Even Mario. You are playing the role of a plumber (roleplaying game).If you want to get more technical, you also have level ups and being touched by enemies curses you so you drop a level (think Drain Energy in D&D).
However, the term RPG is used as a genre inside video games, and it is used to described a stat-driven game with inventory management, where you control a single character or a small group. The stats are not hidden, they're actually the focus of the gameplay. How the stats/skills are applied during combat determines if it's an action RPG, a turn-based RPG etc. C&C is irrelevant. If it's there, then we call it a story-driven game. If that story-driven game happens to be an RPG, then it's a story-driven RPG. Most jRPGs lack C&C or character customisation (in terms of looks, gender etc.). Icewind Dale didn't have any C&C. MMORPGs don't have it either. Nor does Diablo. All of those are considered to be part of the RPG genre. GTA, in contrast, is a third-person sandbox action/adventure.