What should the Design Team strive for in terms of balance? Do you want each archetype to have the same overall winrate (RPS) or that each archetype has a 50ish winrate against every other archetype (RTS)?
The first case is akin to Rock-Paper-Scissors. You could argue that it is a perfectly balanced game since each move has a theoretically equal chance to win – they all have one auto-win and one auto-loss. The outcome of a match is decided solely by your pregame choice.
The most successful players will be those that read the metagame better.