Regarding the charities and organisations that support people with conditions associated with weight loss resistance, here are some excerpts
From an American PWS charity newsletter
https://www.pws.org.nz/wp-content/uploads/2018/09/Beyond-the-Diet-For-the-Dietician.pdf
BEYOND THE DIET – For The Dietician By Janalee Heinemann - Prader-Willi Syndrome Association (USA)
"How many calories does it take for this child gain weight? Many dieticians put the child on a regular diet of 1,500 calories and then think that the parents are not being honest when their child continues to gain weight. It is not unusual to have to put a child or an adult with PWS on as low as 800 calories a day."
And from the Rawood Foundation that supports people with hypothalamic obesity, often caused by cancer or brain surgery:
https://www.rawoodfoundation.org/hypothalamic-obesity. (Raymond A Wood Foundation - "Working to Improve the Quality of Life for Brain Tumor Survivors:)
Imagine being hungry…really hungry…all of the time and nothing satisfies that hunger.
Imagine eating less than 900 calories a day, yet you are still gaining weight.
Imagine the struggle you face with your family and caregivers who are locking up cabinets and refrigerators to keep you from eating everything in the house.
Imagine mom and dad finding you eating out of the trash can.
Imagine experiencing this because you survived a brain tumor.
This is hypothalamic obesity.
There's also this interesting article about a woman with Cushings (where extreme weight gain is caused by a brain tumour)- https://www.dailymail.co.uk/health/article-2510680/32st-woman-lose-weight-diagnosed-hidden-TUMOUR.html
This 32 stone woman claimed to be eating only 800 calories a day and was clearly not believed until she ended up in hospital for 8 months over something unrelated. It's implied that staff only realised she was telling the truth when they were able to monitor or perhaps even control her food intake around the clock and saw with their own eyes that she remained massively overweight even when eating relatively little.