I don’t know where you heard that about insulin resistance, or that intermitent fasting is recommended for a PWT1D/LADA to lose weight. Neither is true.
Nothing you eat will raise insulin resistance unless it first raises your BG high - and it isn’t a permanent effect. Gained weight because excess glucose is stored as a fat by the liver will. That fat is stored as an emergency supply and a long term supply for when lack adequate food supply. It gets released when your BG drops OR when there isn’t enough insulin to metabolize it.
When that happens, the brain signals the endocrine system that it doesn’t have enough insulin to keep running efficiently, and the liver reconverts the emergency fat. If it persists, the body will start to break down other fat and protein, converting them into some glucose, ketones and other things that you don’t need and can’t store, so they get flushed out by the kidneys. That extra boost of liver-released glucose while you continue to eat or not take adequate insulin keeps your BG elevated.
btw If you are “on” a hybrid hybrid closed loop pump and gaining weight you are eating too much. If the pump is set up correctly, it won’t give you more insulin than your CGM sensor says your BG is.
When you fast your gut empties. That means it’s wide open for food to be digested faster than it would be if filled with stool and fiber.
There’s no special diet for type 1 or LADA diabetics. Insulin doesn’t make you gain weight. Taking too much insulin or at the wrong time makes you hungrier. Eating too much and taking insulins to match makes you fatter.
You either eat what your body needs in the quality and quantity it needs, and match your insulin to the body’s response, or you don’t. That’s not just life as a PWD it’s life for everyone. You just need to be more responsible for managing it than a person with a healthy pancreas does.
If you eat only what what your body needs, your weight will rise or fall until you are at the optimum weight for your activity level. Unless you’ve been a glutton, that takes time months per pound, not weeks. If you fast or binge you throw off your body’s balance. You will lose water and minerals, and increase the level of ketones in your blood. None of those are good things.
With T1D or LADA you can not be on a proper, sustainable diet "90%"of the time.
You either eat in a way that is enjoyable, satisfying and adequate all the time or you will not stay with that mix of foods and quantities. A HCL pump give you some flexibility but the more that you bend away from what your body actually needs, the worse the response you will have,