An FPS needs good reaction skills and quick thinking. So that would mean you are a decision maker. And perhaps a generally well prepared person (going into an unknown room with low ammunition and only a small pistol is a stupid decision)
I think perhaps you should not have had such a negative ideal for fans of FPS, because ineviatably their quick thinking decision is that you are insulting them (rightly so) and thus they will shoot you down 
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Does a love of adventure games mean you are an adventurous person?
Does a love of all games mean you have a playful personality?
And yes, you do have it the wrong way around... you should not have used the word "dictate" in your title. Being a fan of adventure games can mean you are an adventurous person, but the game doesn't dictate the personality, it's vice-versa.
