I didn't actually make reference to snacking at all. I meant the addition of condiments or substituting ingredients/foodstuffs/meals to suit individual preferences, rather than comply with the protocols. Unfortunately not everyone es very clued up on nutritional values. That's no slight on the research subject, just a general, per population, generalisation.
I hope your experiment works well, but to be honest, probably all it does is reinforce that where any given T2's primary reason for their diabetes is having exceeded their personal visceral fat threshold, there are many ways to skin this particular cat.
For me, I didn't ND at all, but probably got the same result, as evidenced by serial HbA1c results, maintenance of my trimmed up state and recent OGTT result.
It comes down to personal choice and whether an individual wants a quick fix today (OK, in 12 or however many weeks) or whether they are content for a slower paced journey, perhaps more flexible and sociable journey.
The other question each individual has to ask themselves when considering their approach is how many steep learning curves they are willing to take on. For me, I decided I wanted to embark on something I could simply carry on with, with the obvious adjustments to stall weight loss and maintain (as opposed to yo-yo), rather than get to the end of the 12 weeks, then think, "What now?", and having to work out a whole now approach for me.
I hope you achieve your objective.