Yep. Like a meat diet, a vegan diet will indeed be perfectly healthy provided it is reasonably balanced. You need to watch a few things, such as B12 intake.
OTOH, there is plenty of evidence as to the negative effects of meat on health - the higher fat intake, for instance, and the increased cancer risk.
If meat is so carcinogenic, why was cancer so uncommon until the last century or so? We are not eating any more meat now than we did a hundred years ago, yet cancer incidence is skyrocketing. So, why do we believe that meat causes cancer?
There have been numerous research studies claiming to tie red meat to cancer (particularly colon cancer), however, these were weak epidemiological studies, and are not representative of results in the field as a whole. The fact is that studies of meat and cancer yield very mixed results. Many studies show no connection at all between meat and cancer, and some studies even show a protective benefit. There is simply no solid scientific evidence to support the belief that red meat increases cancer risk.
This did not stop the World Health Organization (WHO) from proclaiming to the planet in October 2015 that red and processed meats cause cancer. Unfortunately, the WHO report is all smoke and mirrors. To see what I mean, please read my detailed analysis of the WHO report: WHO Says Meat Causes Cancer? http://www.diagnosisdiet.com/meat-and-cancer/
(That's a copy-paste from the originally article that you patently did not care to read)
OTOH, there is plenty of evidence as to the negative effects of meat on health - the higher fat intake, for instance, and the increased cancer risk.