Not that it matters really, but both results are about the same and within margin of error percentage wise. In other words both outcomes were virtually the same and it really made no difference either approach. 
Especially if you were going by the mirror. Totally insignificant.
Body composition doesn't really matter when dieting?

Also the High P group lost 5% more overall weight and held onto 2% more muscle ....I would say that is a pretty significant difference...And it is worth bearing in mind that most BB style diets would be far more extreme(in terms of high protein) so the difference may be even more pronounced with a typical BB diet.
And another
Abstract
OBJECTIVE:
This study assessed the effectiveness of a prescribed weight-loss diet with 0.8 versus 1.4 g protein·kg(-1) day(-1) on changes in weight, body composition, indices of metabolic syndrome, and resting energy expenditure (REE) in overweight and obese men.
DESIGN AND METHODS:
Men were randomized to groups that consumed diets containing 750 kcal day(-1) less than daily energy needs for weight maintenance with either normal protein (NP, n = 21) or higher protein (HP, n = 22) content for 12 weeks. The macronutrient distributions of the NP and HP diets were 25:60:15, and 25:50:25 percent energy from fat, carbohydrate, and protein, respectively. Assessments were made pre and post intervention. The subjects were retrospectively subgrouped into overweight and obese groups.
RESULTS AND CONCLUSION:
Both diet groups lost comparable body weight and fat. The HP group lost less lean body mass than the NP group (-1.9 ± 0.3 vs. -3.0 ± 0.4 kg). The effects of protein and BMI status on lean body mass loss were additive. The reductions in total cholesterol, HDL-C, triacylglycerol, glucose, and insulin, along with LDL-C, total cholesterol-to-HDL-C ratio, and HOMA-IR, were not statistically different between NP and HP. Likewise, macronutrient distributions of the diet did not affect the reductions in REE, and blood pressure. In conclusion, energy restriction effectively improves multiple clinical indicators of cardiovascular health and glucose control, and
consumption of a higher-protein diet and accomplishing weight loss when overweight versus obese help men preserve lean body mass over a short period of time.
http://www.ncbi.nlm.nih.gov/pubmed/23592676