With this regimen, you would simply do as your blood sugar numbers direct. It sounds like these patients were measuring and found their glucose to be too low if they took any insulin. In that case, it is safe to stop if coordinated with a doctor. There shouldn’t be any point where a decision is made to drop insulin permanently while your reads are high.
Even if stopping insulin prematurely, low carb would mean low risk of DKA due to slowly rising glucose, giving plenty of time to react. Dropping long-acting insulin would be harder to revert, but frequent small doses of short-acting would be an effective stop-gap.
A good general principle for us diabetics is to encourage everyone to safely explore the control they have over their particular flavor of this disease, and respect whatever those limits turn out to be. :)