At least with humans, any kind of starch or carbohydrate is prohibited on Atkins, especially if you're trying to reverse high blood sugar levels.
An excellent book for anyone interested is called "Protein Power", it's actually quite a hefty book, and it's mostly about research findings and health benefits for people who go low carb... it has so much hardcore research material, I would NOT recommend it as a diet book for people first starting out on lo carb; it's not that easy to read... besides, the actual diet only occupies the last chapter. But if you're looking for particular health benefits, you really want that detailed information.
Looking for a link to the books, I found that he actually has a website, which also of course includes a link to his book... and it appears to have quite a bit of information... much like the book...http://www.proteinpower.com/drmike/
BTW I don't have blood sugar problems, but I was interested to find that the low carb diet can have a part to play in preventing quite a few health problems...my problem is, after a couple weeks I swear I can smell bread baking somewhere, and I'm just dying for a bowl of spaghetti...LOL... so I alternate between low fat high fiber, and high protein low carb. It's good for my health, is my main thing, Twiggy I will NEVER be.
My goodness, that’s a fascinating blog. Thanks much.