I think they play video in MP4, and the YouTube channel is their own.
I have my YouTube channel also. So how could it be possible to play as .mp4
Make a database, then add your videos there, and show those by direct link in Kodular’s native or extension video player. You can use Google Drive or Cloudinary, as you wish. 
it work but there is no playback speed and quality adjusting function. if there we can deal.