In my experience it still improved things after the meds wore off because I spent less time kicking myself for screwing up earlier in the day! So it had positive impacts outside of work and school because I could enjoy the more relaxed stuff.
I do use games to help unwind in the evenings, but as long as I do it in moderation it is more like mental meditation/exercise which helps with sleeping and overall mental health. I play games from about 8-10 p.m. nowadays, because it is after family things have settled down and about an hour before bedtime.