>follow-up studies to examine the processes in detail.
Examining the processes isn't sufficient to provide proof unless it's a completely thorough examination. Biological science isn't at that point yet, and so what this usually means is that group A performs an observational study, group B finds a process that would explain group A's results, assuming group A's results are true. That's different from showing that group A's results were true.
Human, and animal, physiology is very complicated, and it's just plain wrong to assert that we know that eating meat decreases longevity. We don't. There is some evidence to believe it, and some evidence to not believe it at this point (both epidemiological studies and at the molecular understanding of the processes involved).
Epidemiological may be persuasive, but it's misleading because you take a single variable out of hundreds that may not even be known. So you may get Texans who become vegetarians based on longevity studies in some region of China, but then live an even shorter life because their lifestyles and the particular vegetarian foods that they eat aren't as conducive to longevity. This history of epidemiological studies are full of cases like this.