Hi @dj_hawkins,
unfortunately, pulling YouTube captions to Studio is merely a matter of YouTube's Terms of Use rather than the tech. What @ProfessorBeyrer points out is accurate, we embed YouTube media instead of uploading them (therefore those don't count to any storage).
Even though there are services existing to download media and/or its captions, they exist only for personal use. We are not allowed to do so or officially integrate with them, and in best case we would only have a very limited set of media where we have prior written permission from YouTube and, if applicable, the respective rights holders (ToS.) Our understanding around using YouTube media in course building is that Youtube gives teachers opportunity and freedom to quickly find any content they need. That's a very strong statement. Therefore working towards a set of media where we have prior permissions would not be ideal.
Short-term, we don't have a recommended solution, there are workarounds as you can see from the responses. I believe Gregory's solutions seems to be a great one to display captions for YouTube media and enjoy Studio's features at the same time.
Long-term, the solution might just be integrating with another video platform that provides valuable educational content and doesn't apply so strict ToS about the captions. If there is such service in your mind, we are more than happy to explore that as we are making Studio integrable with custom services easier over time. For example I have seen SchoolTube coming up in other conversations. Vimeo is already integrated and we have it on our radar to carry over captions as well.
Best,
Akos
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