My effect parameter snaps when I want it to fade...

 I'm running a simple dynamic effect over six moving heads. For the chorus I want it to speed up slightly. So I record a preset with slow movements and then I change the rate parameter to a suitably movement speed and record again. I notice that when I spin the wheel weird things happen (the effect seems to reset when I change the rate). The problem is that the same thing happens when I run through the sequence. The lightbeams move at a lovely slow pace, I press go, they skip to a new position and then continue moving at a faster (but still lovely) pace. When I observe the parameter as I run the crossfade (5 s) it seems to snap to the new value as soon as I press go. I would like a smooth transition and I seem to recall that I've achieved that in earlier productions. Anyone experienced anything similar? Any solutions?

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