I have patients that have lost tons of weight on keto. They do go off some meds. I also have people who eat a moderate amount of good carbohydrates, and they have lost tons of weight, and been taken off meds, had improved markers, even reversal. I think both approaches work, as I have seen in practice. Many people cannot stay on a keto diet forever. I for one, prefer to have some carbohydrates. I try to pick the right ones. If this works for you, then just be sure to have some medical supervision, which it sounds as though you are doing.
The first meta-analysis worth noting collected the data from 10 randomized trials comprising 1376 participants in total.  After analyzing the research, a key relationship emerged between dietary carbs and blood sugar levels. In short, the researchers described their finding thus: “the greater the carbohydrate restriction, the greater glucose lowering…” 
This drug is an injected variant of a satiety hormone called GLP-1. It slows down how quickly the stomach empties and tells the brain that you don’t need to eat yet – a great idea for losing weight. As a bonus this drug works fine while one is on the keto diet and it works even better with intermittent fasting – for a rapid weight loss with no hunger.
Have Protein at Every Meal and Snack. Adding a source of lean or low-fat protein to each meal and snack will help keep you feeling full longer so you're less likely to overeat. Try low-fat yogurt, small portion of nuts, peanut butter, eggs, beans, or lean meats. Experts also recommend eating small, frequent meals and snacks (every 3-4 hours), to keep your blood sugar levels steady and to avoid overindulging.
A systematic review in 2018 looked at sixteen studies on the ketogenic diet in adults. It concluded that the treatment was becoming more popular for that group of patients, that the efficacy in adults was similar to children, the side effects relatively mild. However, many patients gave up with the diet, for various reasons, and the quality of evidence inferior to studies on children. Health issues include high levels of low-density lipoprotein (LDL), high total cholesterol, and weight loss.
Coffee jumpstarts your metabolism, making the non-decaf stuff a worthy weight loss ally. According to a study published in the journal Physiology & Behavior, the average metabolic rate of people who drank caffeinated coffee was 16 percent higher than that of those who drank decaf. In addition to caffeinating your coffee, it’s also crucial to keep it black and avoid adding any unhealthy creamers and artificial sweeteners, both of which are enemies of weight loss.