You're confusing the symptom for the illness.
Video games don't make people play video games to excess. Mental illness makes people play video games to excess. If you got rid of video games, those same people would play other games, or read escapist literature, or spend their time daydreaming or roleplaying, or engage in any of countless other ways of fueling their addictions.
Video games don't suck people in. Sick people cling to video games. They're unhappy in other aspects of their life, so they sink themselves into the nearest convenient relief. You don't blame a rock when a madman picks it up and kills someone with it: you blame the madness.