Having used one of these shady proxy pool services once in the past for some (pretty harmless) scraping (not especially proud of it), I seriously doubt a service like that is good enough for video streaming. Usually half of the proxies in the pool are high ping or unreachable, and the other half are only valid for at most a few minutes. Maybe I just didn’t pay enough for the gold tier or something.
Edit: Another comment pointed out that maybe only the front domain is geoblocked, but not the video CDN domains. That would make sense. Now that I think about it, youtube-dl also has a --geo-verification-proxy option that works in the same way.