So its not a bad idea but probably won't work on all kids? No harm an trying.
Sadly this is reality for many/some kids...
Child- mommy, daddy lets play a game of candyland!
Parents- can't you see we are watching our favorite show. Go play in your room.
Child- drops head and walks off to play by theirself
Next day
Child- mommy, daddy lets play a game of Uno!
Parents- can't you see we are relaxing. Go play in your room.
Child- drops head and walks off to play by theirself
Next day
Child- mommy, daddy lets play catch!
Parents- can't you see your father is tired and I'm on the phone. Go play in your room
Child- drops head and walks off to play by theirself
Next day
Child- mommy, daddy lets play a game of shutes and ladders!
Parents- see what we got you. Your own video game. Go to your room and play.
Child- oh cool and walks off to play by theirself
Next day
Child- mommy, daddy play the video game with me!
Parents- whisper to teach other ("they have too much energy. We need to take them to the Dr to get some medication so they won't bother us all the time"). Maybe we will play tomorrow after your Dr visit. For now go to your room and play.
Child- drops head and walks off to play by theirself