Parent is highly informed re: transfer. Another 'bugaboo' of cognitive training is the opportunity cost of training. For example, instead of cog training, use the time to get cardiovascular exercise, which has proven and robust benefits for cognition.
Isn't that exactly what the experiment did? They divided subjects to 3 groups: 1 with cognitive training, 1 without anything in particular (wait list), and 1 with physical exercise.
Baseline for activity is too low - 30 minutes five days a week.
To prevent brain tissue loss one should walk 35km per week, it is one hour daily. And that amount is to stop decline of mental capabilities, one need to increase that amount of exercise or add fasting or weight training to start to regain "younger" brain.