Never say never... but to be sure that all that "nutrient density" from those phytonutrient-rich vegetables is actually a plus, you'd have to test the diet vs a diet without those vegetables.

Acceptability of the diet is always a good thing, though. For most people, high veggies plus coconut oil is probably an easier sale than just a ketogenic diet--and to be therapeutic for MS, the needed ketogenic ratio might be extreme enough to make people's willingness to even do the diet a real issue.