There is no large long-term double-blind controlled study comparing a vegetarian/vegan diet to some omnivore diet - and there never will be.
The only diet studies are observational, and they are unreliable in all kinds of ways. The famous Blue Zones book has about the validity of Rich Dad Poor Dad or The Millionaire Next Door. But the book continues to sell, and at a macro level, its advice is not terrible, but it's also not "the only way."
Surprisingly (to me), there is some evidence that some people are genetically better disposed to eating a vegetarian diet than others.