As far as statistical correlation, the p-value of 0.02 (lower, and further away from 0.05, is better) is pretty strong.
Where this article fails to convince me to start waving red meat in the faces of all the vegs I know is the limited sample size of a couple dozen people. Maybe there's some protective factor in red meat, or maybe their small sample size just overrepresented young carnivores and old vegetarians.