Some of the passive suggestions are better, such as making time off or other resources available. Trying to force anything or intervene even with games or other interruptions is wrong imo. Even an invite "that the whole team is doing" feels like pressure. At a minimum it's an interruption and another context switch. I'd personally rather take that hour to walk and get some fresh air, so I'm not focusing on my screen for an unrelated thing.
I know everyone's different but this is how I feel when I hear or read about this kind of thing. It reminds me of something I heard a long time ago "you may have the right message but be the wrong person to deliver it". Let work be work and let people recharge with family and friends if they prefer.