Having read it, it looks like the video is based on the MEN article, rather than the full document.
I may be wrong, but it's certainly not as positive as the article or video.
Throughout, they do suggest that the bar is high for the Premier League, but they also suggest that it may be a lot more of a challenge for City than the UEFA case, and conclude by summing up City's position, "Put simply, defending this claim would require the deployment of enormous resources, intuitive legal reasoning, and persuasion beyond known boundaries." Which doesn't sound particularly easy.