Monitoring is mostly a huge cash cow for manufacturers, with little benefit to the patient that is on a proper diet.
Can you cite a source on this, or is this just an opinion you pulled from some nether region? Why would insulin be needed at all with no carbs to process? And just how is a child supposed to grow and play without the energy that only carbs can provide?
Your body will convert fats and proteins to glucose - the Eskimo grew up just fine on an all fish and meat diet.
You do need insulin so that the glucose can get from the blood stream into the cells. The brain takes glucose as its sole energy source. No insulin, no glucose, brain death.
http://www.ncbi.nlm.nih.gov/pubmed/16454166
There don’t seem to be many studies on low-carb diets for type I diabetics, probably because the prevailing wisdom is that the best way to prevent the increased risk of heart disease is to eat a low fat, high complex carb diet.
Anyway, this one showed better glycemic control and less frequent need for monitoring.