And if you were 200 meters tall or 5000 years old, the TDEE equations also wouldn't apply to you correctly. Most calorie counting studies are done with intake of "normal" foods, not just pure olive oil. In those circumstances, for the most part, calorie counting works well enough for you to lose weight. Yes, the TDEE equations aren't perfect (and neither are nutritional information labels) but they're all within enough of an error margin for you to be able to comfortably lose a kilo every 2 weeks without breaking a sweat.
It is also true that you should tailor your diet not just for weight loss but also for general health (so cutting calories isn't enough, you should also change your eating habits) -- but weight loss is (for the most part, and the vast majority of people) just a matter of TDEE and counting calories.
> After to failing to lose much weight on a low fat diet I had resounding success on a low carb diet, and I can say without a doubt I consumed far more calories on the low carb diet.
Did you measure the changes in your fat weight? Low-carb diets can cause additional weight loss, which is not actually fat loss because some carbs are stored elsewhere in your body[1,2]. Now, that doesn't mean you didn't lose more weight. It just means that you didn't lose more fat. Whether or not that matters to you is a different question.
[1]: https://www.healthline.com/nutrition/does-calorie-counting-w... [subsection 3] [2]: https://www.ncbi.nlm.nih.gov/pubmed/1615908
This is sometimes even lazier than not providing sources.
There's always waste. If not I'd been a lot fatter than I am because at times I ate much more calories than I burned.
What is true is that a steady calorie deficit will cause weight loss in the long run, and can to some degree be calculated and predicted.
Calculating the effects of calorie surplus on the other hand is a bit harder.
BTW: https://www.google.no/search?&q=absorbtion+and+metabolism+of...