Can you post a link to this study?
>We don't actually know how TDEE reacts to weight loss in general
I don't think this is something "we don't actually know." Lots of weight loss studies have been done in which energy expenditure has been carefully measured, so there's plenty of data on this.
http://fampra.oxfordjournals.org/content/16/2/196.full
Quote: "...the majority of the studies point to a reduction in short-term resting metabolic rates that is greater than can be explained by the loss of body mass or fat-free mass over the same time period. Unfortunately, there has been very little work done over the last few years regarding the duration of this phenomenon.
[...]
This is relevant for motivated patients who adhere to severe hypocaloric diets to achieve rather large weight losses. When they get to goal weight their metabolic rate is severely depressed, and they can experience almost immediate weight gain if they resume their prior higher calorie intakes. Recent studies have not continued to measure changes in resting metabolic rate for extended periods to determine whether the reductions are self-limiting. "
There's also the "rebound effect", which the Minnesota Starvation Experiment gives us insight into.
People stop dieting and then resume ad libitum eating. They gain fat faster than lean tissue, because gaining fat is easier than gaining lean tissue. Net effect: BF% worsens compared to baseline.
The key is not that "diets don't work, look, they make you fatter"; rather, it's that people see diets as something you do once and then stop. What's actually necessary is ongoing control of food intake.
...Other than that whatever the formulas are, they seem to make long-term loss nearly impossible for most people.