Is it possible that this entire thing is some sort of misunderstanding?
The guy in the video says that the rumor is "there will not be an Open Game License for the new edition." But that's not how it works. There's only one OGL; systems that use it typically have a System Reference Document (SRD) with some amount of the game rules released under the license.
Given that WotC seems to want 1D&D to be compatible with 5E, maybe what this guy's source is saying is that there won't be a new/updated SRD for 1D&D, simply because it won't need one, with the existing 5E SRD being enough for third-party publishers to keep supporting the game.
Now, that's just speculation on my part. WotC has released less 5E content under the OGL than they did for 3.X (just look at how much game content in the 5E PHB isn't in the 5E SRD, compared to the 3.5 PHB and SRD), so maybe this is an extension of that. But I'd be surprised if they made the same mistake they did with 4E again...or at least, made that mistake again this soon.