And this is why all my basses are passive...
The grounding thing should not prevent you from using an active bass, if that was your meaning.
The deal is, that by the very nature of the instrument amplifier having an unbalanced instrument cable, the pickups also must be unbalanced. Unbalanced audio, especially at the high impedances and very low levels of you bass, is highly susceptible to noise/buzz/hum.
Unbalanced is when you have an audio hot or + and an audio return or - and the minus is also the common aka ground.
You can also gave two wires and a shield, one of the two is + and other - and the minus is still common/ground. The shield can be grounded but it does not carry any audio.
If you were to go to a balanced pickup system, it would inherently be less noisy due to the balanced audio. You still have + and - carrying sighal, but neither one is tied to a common/ground. You also may have a shield that likewise does not carry any signal from the pups.
If you were to ground either the + or - of the you could lose your signal.
You need to be cautious to not let either the + or - of a pup in thus type of system become connected to ground.
It all comes down to understanding the difference and similarities involved with grounding and shielding.