Low-carb high-fat advocates generally do not eat grains and grain products due to the high carb content. They get their necessary fiber from non-starchy high-fiber vegetables.
Does the Bible Say We Should Eat Grains?
The Real Problem With Grains
The real reason wheat is toxic (it’s not gluten or hybridization)
The trick to recognizing a good whole grain: Use carb-to-fiber ratio of 10-to-1
Thoughts on the Kempner Rice Diet
Wheat: The Unhealthy Whole Grain
Book Excerpt: Wheat Belly
By William Davis, MD