The irony of this statement really tickles my funny bone. Am I the only one?
Like every other "group" in Am Yisroel, Lubavitcher chassidim are not a monolith. Individuals within each group have kashrus specifications based on mesorah, hergesh, or guidance from their LOR. There are Lubavitchers who will eat anything that is Glatt, some who will only eat with specific hechsherim (Chassidish, Lubavitch, etc.), and some who will eat from specific shochtim.
Someone can agree a certain type of food is healthy, and still choose not to eat it based on their personal reasons (reactions, diet, etc.). L'havdil, a Lubavitcher can say something is 100% kosher and still have reasons not to want to put it into their body. No irony.