Yes, that is very nice. It does however not invalidate what I said.
Pokémon is at its core a singleplayer experience. You can compare and exchange your singleplayer achievements with other players (via battling and trading), but it all still remains a singleplayer experience. For it to qualify as a Massively Multiplayer Online game, it has to be a multiplayer title first.
As it stands now, you cannot do things like journey together or take on the Elite Four together, or go Pokémon hunting in the same patch of grass together, or even just hang out in a Pokémon Center talking to each other while actually seeing the other player in front of you. This may change in the future, and with it the validity of my point, but as of now it is a singleplayer game with some online communication tools built in. But that alone does not make it multiplayer.
I mean, it's fun to look at MMOs and look for parallels to draw to Pokémon gameplay (which is what the video is doing), but to take these parallels as absolute and declare Pokémon to be a definite MMORPG, sorry, I just don't see it.
I do however concur with all the other points the video has made.