Disabling Nametags Vanilla
Use the scoreboard command like this:
/scoreboard teams option <team> nametagVisibility hideForOtherTeams
This will hide the nametags for players on the team from other teams (and players not on a team).
Use the scoreboard command like this:
/scoreboard teams option <team> nametagVisibility hideForOtherTeams
This will hide the nametags for players on the team from other teams (and players not on a team).