Welcome to TuD, @GTOURRET1! You ask a question that is difficult to answer due to its complexity. Managing weight with diabetes is a hard one. If you are overweight (compared to your historical weight), the amount of insulin you take does play an important metabolic role in your ability to lose weight.
From my perspective as a long-term T1D who has successfully lost a significant amount of weight and kept it off, I have learned a few things. The reason that carb-limited diets have been effective in losing weight is that the level of insulin in the blood plays a crucial role.
When insulin levels are above a certain threshold, your body will not use stored fat for energy. It’s just not metabolically possible. But, when insulin drops (or less is taken due to diabetes management) below that threshold, then the metabolism permits the body to use stored fat for energy.
People who eat a carb-limited diet, especially those who regularly use some form of time-limited eating, can lose excess weight. And when you weigh less, you need less insulin. It can be a tricky process to manage but it can be done. There are many T1Ds like me who have lost significant amounts of weight while reducing our total daily dose of insulin in the process.
Everyone’s unique insult needs vary from each other as well as vary from day to day in themselves. Yet you need to understand that consistently adding a little too much insulin so that you bring your blood sugar into range can easily lead to weight gain and also prevent any weight loss as I described above.
I suggest you read up (also watch some YouTube videos) on the topics of weight loss in diabetes, carb-limited way of eating, and intermittent fasting. Your knowledge of these topics, I consider as the fundamental human software needed to manage diabetes well when your body makes no insulin.
This is not a short-term challenge, so it will work to your advantage to look at this problem in a longer term perspective. Measuring success in months and years instead of days and weeks is the preferred state of mind. Good luck! Please ask any follow-up questions you may have. Many people struggle with this exact same challenge.