Thanks for the links.
I think my first reaction is simple - there is no need for a low carb or keto diet to be high in meat, or protein of any kind.
Of course, a lot of low carbers do eat a lot of meat, but it is possible to be a vegetarian low carber, and a vegan low carber, so high quantities of meat are optional.
There are plenty of other food choices available, including more low carb veg, dairy, eggs, and fats.
In addition, large numbers of diabetics are anaemic, so I would suggest that people weigh the risks carefully, since red meat and liver are brilliant at preventing or treating anaemia.
http://care.diabetesjournals.org/content/26/4/1164