[bobz]

The number of calories you burn isn't just a minor detail you can brush away.

Some sources of energy turn preferentially into fat, others promote a higher burning base metabolism. And when you say weight, you're ignoring other factors like muscle mass, water retention, others, that aren't really what we mean when we say lose weight. (Although incidentally, cutting carbs decreases water retention which is one very valid counter to the low-carb weight loss claims.)

Ignoring the very direct counter-statement by OP that he increased his caloric intake and still found success cannot be dismissed.