'Musicians' are arguably more skilled than those who play video games, as there is much more to think about when playing. You have to think about notes, touch, duration, rubato, tempo, dynamics, style, mechanisms and movement as well as reading music, knowing locations of notes, knowing how t play notes &c. Most games can be easily 'learnt' through intuition, though perhaps good players have faster reaction times.
I'm a pianist/singer so I'm probably a bit biased though. As for academics, music probably helps your brain think more creatively perhaps, though it depends greatly.
Learning how to play a musical instrument also helps your disciplinary skills. This really shouldn't have even been asked, most gamers wish they were as talented as people who play music. Two way different things.