There are so many problems with this.
Okay... I can't do this. Pick a clear direction, stick to it, and lets talk exclusively around that, because I can't response to so many scattered points. It would take me hours to correctly address everything. And I don't have the time for that. I'll give it my best this time, though it's clearly an incomplete response, but no more than that.
First, when it comes co computer games, your first sentence is incorrect. RPG refers to the gameplay style, in which you go around and fight enemies in turn based combat (as opposed, to say, action games, where combat isn't turn based). RPGs also have a clear separation between the player's ability and the character's ability; the player tells the character what to do, and the character then performs the action according to their ability.
What are you saying, RPGs can only be turn based? What about Witcher 3?
Then you misuse the term "ARPG"; regardless of whether you consider those games RPGs, that term clearly refers to games with both action and RPG elements. It has nothing to do with whether the game has what you call "role playing" or is just a simple (or complex) hack and slash.
I meant to say that hack and slash are incorrectly called ARPGs, and as a result only end up diluting the meaning of the term. What do you mean I miss-used the term ARPG. How exactly did I misuse it?
Consider the following problems with your definitions:
1. Zelda: Majora's Mask is not an RPG, but it does have choices and consequences.
Just because a game expands in order to includes elements from other game genres, in order to appeal to a greater audience, doesn't mean that it invalidates the original definitions of the game genres. You mean to tell me that just because Mario Bros is clearly a platformer game, and yet currently the games have evolved to include collectathon elements, the original term of collectathon, used to describe games such as Banjo-Kazooie, was incorrect?
2. Wizardry (1) and Final Fantasy (1) are RPGs, but there aren't any choices and consequences in those two games. Those two games are clearly not ARPGs, as they lack action elements.
Final fantasy was severely influenced by Wizardry, and it's clearly labeled as jRPG. Wizadry is a game 30 years old game, and one of the first attempts to translate the tabletop experience to computers. Of course it doesn't have all the elements that have come to define the RPG, currently cRPG, genre. Mostly because it was among the first, and then because the game development wasn't anywhere near evolved enough to allow a proper implementation.