Earlier quoted context omitted.
> What's so controversial about it? Your body burns incredibly more energy just "being there" than you burn moving about. Exercise certainly increases your calorific expenditure, but it's much easier to ingest less fuel than to run 5 more miles because you had a portion of fries. There are benefits in exercise, apart from the obvious ones the raising of the baseline metabolic expenditure, because muscles are expensiv…
While I agree with that excerice isn't a very efficient way to lose weight I think that you understate how many calories running burns. When I run consistently I need to eat what feels like a lot more food to maintain my weight. Running burns about 700-800 kcal per hour for me (I have a quite small build) which ends up quite a bit over a week (I run 5-8 hours per week).
So if every day you train for an hour so that your breathing is 3 times faster, then you have additional two hours of burning in a day. 23 usual hours plus one worth 3. So you have 26 instead of 24 hours in a day.
It's way easier to put 15% less on your plate every day than to intensly train for an hour each day while keeping portions the same.