The shakes may be proportionately high carb to their calorific value, however, with three shakes a day, that's 60gr carb. Obviously there are a few carbs to add in the portion of vegetable recommended.
As I understand it less than 130gr is considered low carb. I have also seen 150gr quoted. Indeed on this page:
http://www.dietdoctor.com/how-low-carb-is-lchf , even Diet Doctor suggests 50-100gr per day equates to liberal LCHF.
I have mentioned in the past that I have corresponded with Professor Taylor, directly. although not in recent months. During one interchange, I asked what dietary recommendations he made, for post-study maintenance were made to his participants who were considered to have reversed their T2, with a view to continued reversal. His response was along the lines that aside from ensuring they were clear that regaining weight would be extremely unhelpful, and that that probably involved eating smaller portions (and pre-diagnosis), ongoing diet was their choice, but that many did elect to follow a low-carb diet.
I'd agree with
@Brunneria that the petition is written very badly drafted..