I have not read the whole article, but to quote from the Abstract:
Sixteen obese subjects (12 women/4 men) participated in a 10‐week trial with three consecutive dietary intervention phases: (i) 2‐week baseline control phase, (ii) 4‐week ADF controlled feeding phase, and (iii) 4‐week ADF self‐selected feeding phase. After 8 weeks of treatment, body weight and waist circumference were reduced (P < 0.05) by 5.7 ± 0.9 kg, and 4.0 ± 0.9 cm, respectively. Fat mass decreased (P < 0.05) by 5.4 ± 0.8 kg, whereas fat‐free mass did not change.
It is particularly significant that the lean (fat-free) mass did not change.