I agree completely, except it should be hum free if one of the pickups is reversed, even if the magnetic polarity is wrong. That would affect the sound of the bass, but common mode rejection will still work.Your bass hummed before you shielded it - and exhibits the directional characteristics we expect. That means it's not cancelling electromagnetic fields - the RWRP situation that should exist between the 2 pickups doesn't.
You shielded it. Shielding helps with electrostatic fields (they're not the same thing). No amount of copper or paint shielding will ever help with electromagnetic fields - you need hum cancelling pickups to do that, and ...we established earlier on that you don't have hum cancelling pickups. So, your bass reacts the same to electromagnetic hum fields - that is to be expected.
Either one of your pickups is reverse wired, or the pair you have is not RWRP with respect to one another. Shielding is not your problem - the way your pickups are wired is. Whether the pickups are at fault, or the wiring in the bass is at fault is yet to be determined.
This is why I believe the pickups are mismatched as far as inductance and resistance.