The distinction is very much universally accepted. The reason CRPG is used synonymously with RPG in that article is because CRPGs were at the time of their inception what an RPG was. You can tell by reading the introductory description and the characteristics section that what is being described and named are tabletop-like CRPGs specifically.

You’ll notice that in the section that defines ARPGs that they’re referred to as a hybrid genre. They are related to CRPGs, as they borrow elements from CRPGs but they are their own genre that by that hybridization are distinct from the CRPG.

This is reinforced by the Wiki link I sent you which is a more cut and dried succinct list of game genres, where it lists ARPGs and CRPGs as two distinct genres.