Al, Yes part of the noise would be cancelled. Twisting just offers better cancellation.
Reduction of inductance might be more important than reduction in resistance since xover inductor in series with the woofer has most likely around 0.08ohm limiting DF to 100. Assuming he can cut inductance by 2 it will be 200nH per ft less, making two runs of 10' equal 4uH equivalent to 0.5ohm reactance reduction at 20kHz.
Reduction of inductance might be more important than reduction in resistance since xover inductor in series with the woofer has most likely around 0.08ohm limiting DF to 100. Assuming he can cut inductance by 2 it will be 200nH per ft less, making two runs of 10' equal 4uH equivalent to 0.5ohm reactance reduction at 20kHz.