The effects of any nutrition plan will only last as long as you stay on it so ask yourself that honestly first.
Protein digests poorly without carb/fat-stimulated enzyme activity (tough since VLC increases your protein requirements)
Vegetable (and multivitamin!) nutrients are poorly absorbed without fat
It could work--I don't want to dissuade anyone but my general attitude toward obesity is that it's the outcome of malnourished behavior so the antidote is probably more nutrition and not less. "Lean and green" is an old and reasonable strategy for fat loss but my preference would be to do it 1-2 (3 tops) non-consecutive days per week as a lifestyle with no end date. Temporary goals tend to mess with our heads.