I would push against this sort of anecdotal view. The circle of people we eat with (and therefore know the dietary restrictions of) tend to be quite low compared to all the people we meet with on a day to day. Additionally, "looking sick" is a vague enough assessment that simply knowing someone is a vegan may very easily cause you to be much more critical of their appearance, and vice versa you may see someone who looks sick to you and then pay more attention to their dietary habits than you ordinarily would. Another thing to note is that all dietary restriction lifestyles is subject to a noticeably higher rate of disordered eating or intestinal issue that leads to the person participating in the dietary change and therefore it may be important to first determine if the disordered eating or gut issue caused veganism vs the other way around.
That is to say: even though I am neutral towards veganism itself, your logic as to why meat is good reads to me as quite flawed and poorly reasoned around.