Edit to add picture and clarify: Each token has the nameplate field, a checkbox to display the nameplate, and a small settings box above it to set the visibility for players. 'See' allows all players to see the nameplate; 'Edit' allows only players who have 'Controlled by' access to the token to see the nameplate. Open the token settings window to adjust those settings. Since I see you have a Pro subscription, if you are setting the visibility to allow players to see nameplates and it is reverting so they cannot see it anymore, the most likely cause is a script. A common one that does this is Aura/Tint Healthcolors, which has a setting to control nameplate visibility. You can adjust that setting using the !aura command for the script settings.