So, IF is not a treatment for binge eating disorder. It can actually trigger binges in those with the disorder, because of the inherent fast/feast nature of IF. Having a longer fasting period and just binge-eating during your eating period is highly unlikely to make you healthier long-term. The point of IF is to eat normally during your eating periods, not to starve yourself and then binge.
In terms of weight loss, it is possible to overeat during even a short eating window, and thus still gain weight with IF. If you are seriously binge-eating then it could definitely happen.
I think you need to start treatment for the binge-eating disorder before you can safely consider IF as a tool for weight loss.
I suggest finding a doctor with experience treating binge-eating disorder. I would start with a doctor rather than a dietitian, because diet is only part of the picture here. Mental health is another big part of the picture. If you’re in the US, the National Eating Disorders Association has a search tool to find some providers, and a lot of other resources as well.
You should contact a therapist who specializes in disordered eating and ask your PCP for a nutritionist or dietician referral.
Based on what you said about the binging and your history, IF alone is not likely to help. You need to have a healthy diet. You could do OMAD but if you consume excessive amounts of unhealthy foods during that one meal, you will not lose weight or improve your health.
IF may be a good tool to help you control your binging (like if you usually binge at night, set your eating window to end at 6pm) but you have to stick to your window.
The best plan is the one you can stick to. Start with 16:8 and see how it goes.
Go keto or carnivore. You won’t be hungry all the time when you’re eating dense, nutrient rich foods.
Therapy might help too but they’ll probably try to shove the high carb USDA food pyramid down your throat. Don’t listen to them in regards to that.
It’ll take willpower to break your food addictions and form new habits –> approximately a month. Approximately two months for your body to become fully adapted to using fat as an energy source.
You can do it
Here’s some resources for you:
https://www.marksdailyapple.com