As the comments say, neither is right nor wrong since they all exist in their own separate universes of canons. The people who write the games, anime, and manga are different people who have different ideas on how the franchise should be portrayed in the mediums they work on. One could say the games are the most correct version since both the manga and the anime are adaptions of the games, but that's not exactly accurate either since they both take enough liberties that they are their own properties than mere adaptions. Even throughout the games, there are 4 different Alola games each with varying levels of differences (particularly with the Ultra and non-Ultra versions), so they don't have definitive "correct" versions either.
What I'm trying to say is as long as they are official media from the Pokemon Company, they are correct in their own individual bubble.