It seems extremely unlikely to me. I hesitate to bring up the 2nd law of thermodynamics because I know if frustrates a lot of people in these discussions. However, bear with me.
"Calories" in this context refers to kilocalories. Burning 1 kilocalorie produces enough energy to raise 1 kg of water 1 degree C. So burning an extra 1000 kilocalories per day means producing enough heat to raise the body temperature of a 100 kg person 10 degrees over the course of a day. Although our bodies are really good at cooling, that's not an insigificant amount of heat. It's of a magnitude that is relatively easily measured.
If such a phenomenon were to exist, it seems inconceivable to me that the researchers would not try to measure it. I mean it is literally the holy grail of dieting. I think it is considerably more likely that the effect they are measuring is very interesting, but does not extrapolate out to this logical conclusion.