That is called a "Zobel network." You probably have a resistor in the range of 8 to 20 ohms in series with the Solen, and this pair is after the woofer choke and in parallel with the woofer. This network counters the woofer's tendency to have a rising impedance above the crossover frequency. It can smooth out the frequency response above the crossover point.
I would expect the cap in the Zobel to be significant sonically but not to the same extent as a crossover shunt cap. But I haven't actually tried it so this somewhat speculative.
I would expect the cap in the Zobel to be significant sonically but not to the same extent as a crossover shunt cap. But I haven't actually tried it so this somewhat speculative.