What you're saying is not correct.
First of all this, this study does not confirm that "dieting and increasing exercise is not effective for some people". No where does it say that. It looked at a large number of obese people who did not receive bariatric surgery and tabulated the number and percentage of them that became normal weight. It doesn't say what percentage of them actually conformed to a diet and exercise regimen on which weight loss down to a normal weight would be predicted. It may be that the number who conformed were the exact number that became normal weight (1 in 124 for women and 1 in 210 for men). Indeed, if the population of obese people were at all likely to conform to effective weight loss regimens, then it is unlikely they would have become obese in the first place. So the result is not surprising.
Second of all, official HAES principles are posted online. Number 4 is "Promote flexible, individualized eating based on hunger, satiety, nutritional needs, and pleasure, rather than any externally regulated eating plan focused on weight control."
No where does this say it is just against "binge diets". It's against any diet that is intended for weight loss, or weight gain, or weight maintenance even; any "weight control". Mainstream, scientifically-based dietitians, nutrition scientists and medical doctors advise diets for weight control all the time. The standard treatment for anorexia nervosa is to first and foremost enforce a diet which brings weight back up to healthy levels. The standard treatment for an obese woman showing Pseudotumor cerebri is to lose weight. Etc.
For HAES to reject these practices is pseudoscientific.