Mobile vs. console games aren't going to be an interesting differentiator. "Video games" are not a monolith, and it's safe to hypothesize that any benefit is not from the mere act of staring at a glowing rectangle, but from the activity that the brain is engaged in. For example, you'd assume that games that let children socialize would help them develop social skills, games that let them be creative would foster creativity, games that force them to think might benefit their reasoning skills, etc. (Of course these could all also be correlations rather than causative.)