The observational weak relative risk studies can be pumped out infinitely, they do not inform on cause and effect sadly. The best data we have of prewesternized cultures eating meat heavy diets shows no incidence of cancer in these populations (first tribe nomads, inuit, etc). Humans have been eating meat for at least 2.5 million years, yet cancer has only jumped up to the epidemic it is today in the last 150 years. Something in the environment and diet has changed, absolutely. What is the causative factor? The anti-meat papers with weak relative risk tells me that its not the meat, we should be looking for a very strong signal (50% of people born today will have cancer in their lifetimes - 150 years ago basically nobody got cancer).
I could speculate, and I have my own theories, but we are looking for a significant change in the last 150 years as our culprit. Meat is not a new invention. Processed food, fructose, sugar, industrial food oils, pesticides in the food supply - all have bloomed in the last 150 years, I would hazard a guess and say these are the real harbingers of modern disease we need to focus on. Curiously these epidemiological food questionnaire papers don’t look at these factors, maybe because its hard to fill in a survey for sugar (its in all processed food).