Gandos: Actually, in one of the community Q&A's, it was stated that the reason they stopped producing it was because YouTube was constantly taking down their videos, even though they obviously had permission to use trailers/gameplay footage in their videos.
Not that it really matters anymore. Even if it were possible for "This Week on GOG" to return, it wouldn't be the same now that Trevor Longino no longer works at GOG. :(
Grargar: Quoting their final
This Week on GOG episode:
"The last episode, by the way. With all the unfortunate changes (a.k.a. "improvements") being introduced to YouTube all the time lately, the number of views we can get doesn't really justify the amount of time and resources we dedicate to the show."
Well, here's the quote from Trevor "EnigmaticT" Longino from their first Community Q&A (
http://www.twitch.tv/gogcom/c/4117355 at around the 27 minute mark):
"What happened to the "This Week on GOG" YouTube videos? Will they ever come back? That's kind of a question for me. This week on GOG, in case you missed it, here's what's new!
Sadly, we had to discontinue them, because we kept getting Content ID claims. If you get enough of them, your channel is removed from YouTube. So, because we were using other people's videos with their permission, but how do you prove that?...We kept getting claims and YouTube was like "nope, you're in danger of getting yourself tossed to the curve", so we said "alas, alack, we have to stop". But we even had Content ID claims for the music for the video, which we paid someone to write for us. So, just because someone makes an ID claim doesn't mean that they're a rights holder or even...sane. But regardless, it ended up being a problem we couldn't get around."
Of course, it's entirely possible that the changes they referred to in the news post you linked was the wave of Content ID claims YouTube experienced, I think like, last year.