I know several kids who view video game systems as kiddie toys. They pay PC based games and often times run complex systems will multiple computers. One of my son’s roommates picked his room location in the house they rented based on the ability to have a wired connection to their modem (lag with WIFI was unacceptable to him).
Whether your kid takes a video game to college will only be part of the equation in terms of distraction potential for video games. Could also be something of a rebellion factor involved if you block him from taking it. You can always find distractions in college. Can be video games. Can be drinking. Can be playing sports. Someone will always just have had a test, broken up with a girlfriend, have a birthday, etc. and will be looking to blow off steam. You can participate in that but not every time. And if there is an addictive personality which sacrifices life for video games, seems likely banning video games likely leads to another addictive activity to take its place.
I think I would have a direct and firm conversation with my kid about all of these distractions. Tell the kid they will need to spend more time studying in college than they did in high school. Stakes are higher now. And then monitor progress. Don’t wait for the end of the quarter/semester to see how things went. Monitor test/quiz results.
Good luck.