I'm not going to pretend to be an expert on Japanese corporate law or anything, but in my 15+ years following online content and especially video game content, I had never once heard of "getting permission" to play a game until I found Hololive.
This includes the period where game companies, particular Japanese companies, were going to war with Let's Players who had just started monetizing on YouTube.
Hell, here's a 3M+ subscriber Japanese channel that streamed the end of MGS1 two days ago. So where's the rule about "the amount of the story" here?
https://www.youtube.com/watch?v=9g8czeRrf9M[Open]
Permissions are a meme.