Maybe they solder two caps in parallel to get a special value (if you solder caps in parallel you add their capacities).
Since there is only one of the wires broken, that means that only one of the two caps is functioning.
With only one cap functioning you get less capacitance, and less terble cut when your tone control is closed.
I'd say, if this isn't bothering you, leave it. Those basses haven't much treble to roll off anyway!