By the way, it's a false assumption that paleo means low carbs. You're basically just saying cut away breads, pastas and whatever grain foods you wanted to have with your meat and three veg. Steak, sweet potatoes and a side salad is paleo and is about a 40/20/40 ratio of protein/fat/carbs, based on standard portions.
There's plenty of carb sources out there that aren't grains and it would be easy to adjust the players' diets to whatever protein, fat and carb ratio they wanted.
I imagine one of the aims of the diet is for the anti-inflammatory benefit to assist in injury recovery. Sounded like it was totally optional anyway.