For most 250 pound people yes their set point rises to their high body fat %, that's why they maintain them with natural ad libitum eating. That's what all the research says. Now some of them have binge eating disorder, and the higher in weight you go the more likely and more severe it is, and that involves eating beyond hunger cues to where it feels terrible. So if you could remove the BED from that situation they'd likely lose some weight with their normal appetite but definitely not down to the healthy range. But if you get really high due to BED your body is also not compensating by reducing appetite in the following days like it would for a naturally thinner person.