I have a possible theory:
There is a loose connection in the ground between the output jack and the pickup ground.
Look at the Seymour Duncan wiring diagram in this post:
Wiring P-bass "63
If wired exactly like the diagram and there is no other connectivity between the vol pot ground, i.e. the pickup ground, and the output jack then the volume control should work in reverse. This is because the output jack sees the output of the vol pot against the output of the tone pot. When the vol is up full then there should be very little potential between them (depending on the tone setting). If the volume is down, then there should be almost full pickup potential between them.
What it's missing is an definite ground connection between the vol pot and the tone pot so the output jack sees a ground connection straight through to the pickups.
Perhaps with a bad solder and a loose wire in a pot lug or something, bumping the bass can alternately make or break the ground connection.