I can say with utmost certainty that I am not a limp doll.  I love to move with my partner, as it makes the sensation more pleasurable for both.  I am not always in the submissive position as a lover, but even when I am, I move .

A word to the wise.  Ask a girl what her limits are if she describes herself as submissive.. without being explicit.  Not all gentlemen are interested in D/s play, so she's not going to expect it unless you tell her you are interested in it, and she is not going to be happy if you spring it on her unexpected.