Possibly, but the pages and ads load fine, just the videos are broken, so I'd take your bet (idiomatically; I'm not a betting person).
That makes sense to me, because dynamic pages are not served from a CDN, which do a lot more BGP and routing trickery that could go wrong.
That's fair, but Google's BGP errors tend to be global. To my knowledge they've never killed their CDN and not everything else. (I have no non-public knowledge, I just pay attention).