I don't think there is currently a way to do this, someone please correct me if I am wrong. I would like to ba able to grab a fixture running an efx and hit a button to dump all efx engine properties from the fixture.
With nothing running on the console, grab all your fixtures, TOUCH them and then record that as an effect palette (make one for all parameters, and one for each parameter). When you want to stop an effect for a fixture - Select it, touch it and then select the effect palette you just created.
If you do this with Color; position,color and beam plus FX then you can separate stop: lets say a moveFX with ZommFX and a color FX. So so you have the choice to stop only one ore more of this FX.
That behaviour does work and is probably the easiest way to handle this.
Touching just the parameter or the parameter group with the effect will bring both the base value and the effect into the programmer. Holding down backspace