Let's be honest for a second; If it was a stream, especially after the update launches, it would most likely create a wormhole into a hell dimension where everything buffers and never stops buffering because all that exists is buffering and more buffering and... ... ...
But yeah, Kaz probably realises this so he wants it to be smooth without interruptions.
It might help if Sony let them host the video's on a super fast server that can hold a lot of activity.
But even then, these are big HD files that you're streaming, some people just don't have the internet to handle that.