Who knows if all the claims in that video are fully backed by peer reviewed published studies but its pretty certain there has been some changes across the ecosystem there as a result of wolf reintroduction. Its interesting to think about I think.
Its fairly easy to pull up some peer reviewed published studies so there appears to be some evidence.
The 1995/1996 reintroduction of gray wolves (Canis lupus) into Yellowstone National Park after a 70year absence has allowed for studies of tri-trophic…
www.sciencedirect.com
I would think that wolf predation of deer could be beneficial for hunting. They are going to take out the young weak and sick in amore consistent way than hunting where a trophy is more likely to be preferred. Over a long period of time preferentially taking trophy deer is bound to decrease the prevalence of trophy deer so it might be that wolf predation would be beneficial in keeping a healthy deer population, albeit maybe at a lower overall level