Hmm, OK. Ya, that's different than what I was thinking. It shouldn't be that way. What controls did you set your joystick to? I guess there really is only the one option (joystick set to the cyclic controls). I'm sure you know, but just in case - check to make sure there is no dead zone set in the joystick configuration (in Windows or any special software for you stick).
What I was describing was meant as a more generic explanation why many people have difficulty flying a helo with a joystick (and why people probably prefer the mouse). They don't realize just how active you need to be with the stick to keep the helicopter going where you want it, or not going where you don't. Many people think they should be able to just get the helo in a hover and relax, but that's not true. Well, in ARMA, I've been able to do it, but with any real helo I've flown (helo sims, or RC helicopters), you never get to relax. :) In ARMA, I've had more difficulty getting a "clean" hover (where I can relax) with the joystick vs. using the mouse. It's just because we have much better precise control with a mouse.
But, either way, the mouse should not be more responsive than a joystick. More precise, maybe, but not more responsive. At least in my experience.