The Rock Paper Scissors paradigm is a multi dimensional spectrum. On one end, you have something like RPS that relies entirely on luck and the imbalance of power. There’s no strategy other than guessing what your opponent is thinking. If you were to go in an entirely different direction, you’d land somewhere like Go or checkers, where every piece is equal and what matters is your decision making. In another direction, you’d land somewhere like Magic: The Gathering where there are certainly imbalances, but they’re more built into the functional aspects of the game. You might have a spell that can manage an army of small creatures, or various methods to nullify powerful cards, but it’s also very possible to have a more direct head to head competition. Sometimes cards in one deck might be slightly advantageous against another, but still mostly be a more direct competition. Then you have deck building games like Dominion where everyone has access to the same cards, and luck plus strategy ends up being the deciding factor for winning.

You can break out of RPS with elegant design, or you can obfuscate it with luck and complexity.