I just had to comment on the board game analogy. While it's true that neither is "right or wrong", Group B is much less likely to get a pure luck game (Chutes & Ladders) when they want a strategy game (Chess) or Monopoly when they want Trivial Pursuit. It's not that any system can't be fun, it's that some systems are more fun for the type of game you want to play.
Re: System doesn't matter much