I have to admit, I don't really agree with the video's points, for the most part. He explains his points reasonably, it's not a whiny rant. But it does come across as a fan who cannot accept anything that is different from what they see as true canon.
The biggest problem I have with DmC Dante is this: I wouldn't want him to become the new official Dante. And yet, in the context of this game, its world, the story that seem to be shaping up, I think this Dante works. There's nothing wrong with him, especially the changes they made after realizing the original chain smoking crack addict was a little.. too far.
And I don't think you can criticize this game's story or premise based on what we know so far. Look, the DMC series has stupid plots, cringeworthy writing and dialog, batshit insane characterization, you name it. We accepted those things because the games were supposed to be that way - they were over the top Japanese satires of stylish action. There's nothing in DmC that looks worse, and the premise of a hallucinatory city that this Dante may be struggling to escape looks intriguingly realized with the multiple levels of warping environment.