What utter nonsense.
At the end of the day, you eat more than you burn = you gain weight; you burn more than you eat, you lose weight.
Do we all burn calories equally? Not really -- our levels of activity, our genetic makeup, our body composition, and many other variables play a role in determining this.
When I'm active, I can eat ~3500-4000 calories a day and I still stay in great shape. When I've fallen off the wagon, I will gain weight at ~2500 calories because I just turn into a lazy mash that couch surfs.
Does blindly counting calories make sense? Of course not -- you have to figure out what *your* threshold is. How many calories do YOU need before you start losing/gaining weight and adjust it from that point on.
But to discount counting calories in its entirety is just rubbish. Because ultimately, if you are not eating more than you burn, where is your body getting the excessive calories from?