When you have clicky or scratchy electronics behavior with wireless systems, it's often due to grounding weirdnesses, particularly if the transmitter you use has the antenna integrated into the audio cable.
Everything to do with radio is mysterious, but I think the problem tends to be that the length and shape of the antenna is pretty important for proper performance. To prevent having extra wires dangling around, some manufacturers use the shield of the audio cable as the antenna as it's about the right length for the common frequencies. The problem with doing this is that that shield is in contact with the shielding in the body of the instrument, which means the antenna is now untuned. Things generally work with regular guitars which have minimal internal shielding, but on a highly shielded instrument like an Alembic, this can have a significant and unpredictable effect.
Often the effect on a shielded guitar is that it sounds scratchy or clicky when you're turning the pot, but sounds completely normal when it's sitting still or when you're plugged in with a cable.
I've never been told exactly what is happening here, but the solutions are sort of wacky. If you have a wireless unit where the transmitter doesn't have an independent antenna, you probably want to switch systems or contact the manufacturer to see if there's a mod where you can add a separate antenna. If you have a thin separate wire that appears to just be hanging out of the transmitter, that is the antenna, but it may also be wire or foil inside the transmitter case.
The other thing you might try is wrapping the battery with tape. Sometimes, the metal case of a 9V battery can act like an antenna when it comes into contact with the grounding paint in the instrument. Wrap it with tape (masking tape is fine, you probably don't want to use electrical tape because of the mess) and see if that doesn't make the problem go away. It's a bit of a shot in the dark, but as you isolate away pieces of metal from the ground, you are re-tuning the antenna!
After that, the next thing you would look at is modifying the lengths of the leads in the electronics cavity, but again, it's sort of random - it would be hard to know which wire is the problem and what the critical lengths to get to would be. If you have a shielded 1/4 extension cable (this would be a very odd thing to have lying around), you could plug it in between the tranmitter and bass. That changes the antenna length, again retuning the antenna and possibly getting rid of the problem.
At least this is something to try. I hope something will make a difference here for you,
David Fung